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

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


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

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

Reorder the terms:
4 + 4 + 9y + 10y = 7(y + -1)

Combine like terms: 4 + 4 = 8
8 + 9y + 10y = 7(y + -1)

Combine like terms: 9y + 10y = 19y
8 + 19y = 7(y + -1)

Reorder the terms:
8 + 19y = 7(-1 + y)
8 + 19y = (-1 * 7 + y * 7)
8 + 19y = (-7 + 7y)

Solving
8 + 19y = -7 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
8 + 19y + -7y = -7 + 7y + -7y

Combine like terms: 19y + -7y = 12y
8 + 12y = -7 + 7y + -7y

Combine like terms: 7y + -7y = 0
8 + 12y = -7 + 0
8 + 12y = -7

Add '-8' to each side of the equation.
8 + -8 + 12y = -7 + -8

Combine like terms: 8 + -8 = 0
0 + 12y = -7 + -8
12y = -7 + -8

Combine like terms: -7 + -8 = -15
12y = -15

Divide each side by '12'.
y = -1.25

Simplifying
y = -1.25

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