Pre-Algebra Examples

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

Step 1

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

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

Step 2

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

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

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

Step 2.1.2

Multiply $5$ by $- 3$ .

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

Step 2.1.3

Multiply $- 3$ by $- 7$ .

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

Step 2.2

Add $- 15 y$ and $5 y$ .

$- 10 y + 21 = - 10 y + 18$

Step 3

Move all terms containing $y$ to the left side of the equation.

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Step 3.1

Add $10 y$ to both sides of the equation.

$- 10 y + 21 + 10 y = 18$

Step 3.2

Combine the opposite terms in $- 10 y + 21 + 10 y$ .

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Step 3.2.1

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

$0 + 21 = 18$

Step 3.2.2

Add $0$ and $21$ .

$21 = 18$

Step 4

Since $21 \neq 18$ , there are no solutions.

No solution