Solve 3(y + 8) = 10(y - 4) + 8

Evaluate

3 (y + 8) = 10 (y - 4) + 8

Calculate

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3 y + 24 = 10 (y - 4) + 8

Calculate

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3 y + 24 = 10 y - 32

Move the expression to the left side

3 y + 24 - (10 y - 32) = 0

Calculate the sum or difference

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- 7 y + 56 = 0

Move the constant to the right-hand side and change its sign

- 7 y = 0 - 56

Removing 0 doesn't change the value,so remove it from the expression

- 7 y = - 56

Change the signs on both sides of the equation

7 y = 56

Divide both sides

\frac{7 y}{7} = \frac{56}{7}

Divide the numbers

y = \frac{56}{7}

Solution

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y = 8

Solve the equation