-8y+17=-2(5y-7)+5y

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Solution for -8y+17=-2(5y-7)+5y equation: 


Simplifying
-8y + 17 = -2(5y + -7) + 5y

Reorder the terms:
17 + -8y = -2(5y + -7) + 5y

Reorder the terms:
17 + -8y = -2(-7 + 5y) + 5y
17 + -8y = (-7 * -2 + 5y * -2) + 5y
17 + -8y = (14 + -10y) + 5y

Combine like terms: -10y + 5y = -5y
17 + -8y = 14 + -5y

Solving
17 + -8y = 14 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
17 + -8y + 5y = 14 + -5y + 5y

Combine like terms: -8y + 5y = -3y
17 + -3y = 14 + -5y + 5y

Combine like terms: -5y + 5y = 0
17 + -3y = 14 + 0
17 + -3y = 14

Add '-17' to each side of the equation.
17 + -17 + -3y = 14 + -17

Combine like terms: 17 + -17 = 0
0 + -3y = 14 + -17
-3y = 14 + -17

Combine like terms: 14 + -17 = -3
-3y = -3

Divide each side by '-3'.
y = 1

Simplifying
y = 1

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