5(y-5)-1=-2(-2y+6)-7y

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Solution for 5(y-5)-1=-2(-2y+6)-7y equation:


Simplifying
5(y + -5) + -1 = -2(-2y + 6) + -7y

Reorder the terms:
5(-5 + y) + -1 = -2(-2y + 6) + -7y
(-5 * 5 + y * 5) + -1 = -2(-2y + 6) + -7y
(-25 + 5y) + -1 = -2(-2y + 6) + -7y

Reorder the terms:
-25 + -1 + 5y = -2(-2y + 6) + -7y

Combine like terms: -25 + -1 = -26
-26 + 5y = -2(-2y + 6) + -7y

Reorder the terms:
-26 + 5y = -2(6 + -2y) + -7y
-26 + 5y = (6 * -2 + -2y * -2) + -7y
-26 + 5y = (-12 + 4y) + -7y

Combine like terms: 4y + -7y = -3y
-26 + 5y = -12 + -3y

Solving
-26 + 5y = -12 + -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.
-26 + 5y + 3y = -12 + -3y + 3y

Combine like terms: 5y + 3y = 8y
-26 + 8y = -12 + -3y + 3y

Combine like terms: -3y + 3y = 0
-26 + 8y = -12 + 0
-26 + 8y = -12

Add '26' to each side of the equation.
-26 + 26 + 8y = -12 + 26

Combine like terms: -26 + 26 = 0
0 + 8y = -12 + 26
8y = -12 + 26

Combine like terms: -12 + 26 = 14
8y = 14

Divide each side by '8'.
y = 1.75

Simplifying
y = 1.75

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