-4y+2(-7y+5)=9+1(-8-y)

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Solution for -4y+2(-7y+5)=9+1(-8-y) equation:


Simplifying
-4y + 2(-7y + 5) = 9 + 1(-8 + -1y)

Reorder the terms:
-4y + 2(5 + -7y) = 9 + 1(-8 + -1y)
-4y + (5 * 2 + -7y * 2) = 9 + 1(-8 + -1y)
-4y + (10 + -14y) = 9 + 1(-8 + -1y)

Reorder the terms:
10 + -4y + -14y = 9 + 1(-8 + -1y)

Combine like terms: -4y + -14y = -18y
10 + -18y = 9 + 1(-8 + -1y)
10 + -18y = 9 + (-8 * 1 + -1y * 1)
10 + -18y = 9 + (-8 + -1y)

Combine like terms: 9 + -8 = 1
10 + -18y = 1 + -1y

Solving
10 + -18y = 1 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
10 + -18y + y = 1 + -1y + y

Combine like terms: -18y + y = -17y
10 + -17y = 1 + -1y + y

Combine like terms: -1y + y = 0
10 + -17y = 1 + 0
10 + -17y = 1

Add '-10' to each side of the equation.
10 + -10 + -17y = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -17y = 1 + -10
-17y = 1 + -10

Combine like terms: 1 + -10 = -9
-17y = -9

Divide each side by '-17'.
y = 0.5294117647

Simplifying
y = 0.5294117647

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