7(y-1)-5=-2(-2y+7)-7y

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Solution for 7(y-1)-5=-2(-2y+7)-7y equation:


Simplifying
7(y + -1) + -5 = -2(-2y + 7) + -7y

Reorder the terms:
7(-1 + y) + -5 = -2(-2y + 7) + -7y
(-1 * 7 + y * 7) + -5 = -2(-2y + 7) + -7y
(-7 + 7y) + -5 = -2(-2y + 7) + -7y

Reorder the terms:
-7 + -5 + 7y = -2(-2y + 7) + -7y

Combine like terms: -7 + -5 = -12
-12 + 7y = -2(-2y + 7) + -7y

Reorder the terms:
-12 + 7y = -2(7 + -2y) + -7y
-12 + 7y = (7 * -2 + -2y * -2) + -7y
-12 + 7y = (-14 + 4y) + -7y

Combine like terms: 4y + -7y = -3y
-12 + 7y = -14 + -3y

Solving
-12 + 7y = -14 + -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.
-12 + 7y + 3y = -14 + -3y + 3y

Combine like terms: 7y + 3y = 10y
-12 + 10y = -14 + -3y + 3y

Combine like terms: -3y + 3y = 0
-12 + 10y = -14 + 0
-12 + 10y = -14

Add '12' to each side of the equation.
-12 + 12 + 10y = -14 + 12

Combine like terms: -12 + 12 = 0
0 + 10y = -14 + 12
10y = -14 + 12

Combine like terms: -14 + 12 = -2
10y = -2

Divide each side by '10'.
y = -0.2

Simplifying
y = -0.2

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