-7=5(y-5)-8y

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Solution for -7=5(y-5)-8y equation:


Simplifying
-7 = 5(y + -5) + -8y

Reorder the terms:
-7 = 5(-5 + y) + -8y
-7 = (-5 * 5 + y * 5) + -8y
-7 = (-25 + 5y) + -8y

Combine like terms: 5y + -8y = -3y
-7 = -25 + -3y

Solving
-7 = -25 + -3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '3y' to each side of the equation.
-7 + 3y = -25 + -3y + 3y

Combine like terms: -3y + 3y = 0
-7 + 3y = -25 + 0
-7 + 3y = -25

Add '7' to each side of the equation.
-7 + 7 + 3y = -25 + 7

Combine like terms: -7 + 7 = 0
0 + 3y = -25 + 7
3y = -25 + 7

Combine like terms: -25 + 7 = -18
3y = -18

Divide each side by '3'.
y = -6

Simplifying
y = -6

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