Algebra Examples

$- 10 y + 18 = - 3 (5 y - 7) + 5 y$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Add $3 (5 y - 7)$ to both sides of the equation.

$- 10 y + 18 + 3 (5 y - 7) = 5 y$

Step 1.2

Subtract $5 y$ from both sides of the equation.

$- 10 y + 18 + 3 (5 y - 7) - 5 y = 0$

Step 2

Simplify $- 10 y + 18 + 3 (5 y - 7) - 5 y$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 10 y + 18 + 3 (5 y) + 3 \cdot - 7 - 5 y = 0$

Step 2.1.2

Multiply $5$ by $3$ .

$- 10 y + 18 + 15 y + 3 \cdot - 7 - 5 y = 0$

Step 2.1.3

Multiply $3$ by $- 7$ .

$- 10 y + 18 + 15 y - 21 - 5 y = 0$

Step 2.2

Add $- 10 y$ and $15 y$ .

$5 y + 18 - 21 - 5 y = 0$

Step 2.3

Combine the opposite terms in $5 y + 18 - 21 - 5 y$ .

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Step 2.3.1

Subtract $5 y$ from $5 y$ .

$0 + 18 - 21 = 0$

Step 2.3.2

Add $0$ and $18$ .

$18 - 21 = 0$

Step 2.4

Subtract $21$ from $18$ .

$- 3 = 0$

Step 3

Since $- 3 \neq 0$ , there are no solutions.

No solution