-5(1-5y)+5(-8y-2)=-12y

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Solution for -5(1-5y)+5(-8y-2)=-12y equation:


Simplifying
-5(1 + -5y) + 5(-8y + -2) = -12y
(1 * -5 + -5y * -5) + 5(-8y + -2) = -12y
(-5 + 25y) + 5(-8y + -2) = -12y

Reorder the terms:
-5 + 25y + 5(-2 + -8y) = -12y
-5 + 25y + (-2 * 5 + -8y * 5) = -12y
-5 + 25y + (-10 + -40y) = -12y

Reorder the terms:
-5 + -10 + 25y + -40y = -12y

Combine like terms: -5 + -10 = -15
-15 + 25y + -40y = -12y

Combine like terms: 25y + -40y = -15y
-15 + -15y = -12y

Solving
-15 + -15y = -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
-15 + -15y + 12y = -12y + 12y

Combine like terms: -15y + 12y = -3y
-15 + -3y = -12y + 12y

Combine like terms: -12y + 12y = 0
-15 + -3y = 0

Add '15' to each side of the equation.
-15 + 15 + -3y = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -3y = 0 + 15
-3y = 0 + 15

Combine like terms: 0 + 15 = 15
-3y = 15

Divide each side by '-3'.
y = -5

Simplifying
y = -5

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