-7+9(y+2)=4y-2(4-3y)

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Solution for -7+9(y+2)=4y-2(4-3y) equation: 


Simplifying
-7 + 9(y + 2) = 4y + -2(4 + -3y)

Reorder the terms:
-7 + 9(2 + y) = 4y + -2(4 + -3y)
-7 + (2 * 9 + y * 9) = 4y + -2(4 + -3y)
-7 + (18 + 9y) = 4y + -2(4 + -3y)

Combine like terms: -7 + 18 = 11
11 + 9y = 4y + -2(4 + -3y)
11 + 9y = 4y + (4 * -2 + -3y * -2)
11 + 9y = 4y + (-8 + 6y)

Reorder the terms:
11 + 9y = -8 + 4y + 6y

Combine like terms: 4y + 6y = 10y
11 + 9y = -8 + 10y

Solving
11 + 9y = -8 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
11 + 9y + -10y = -8 + 10y + -10y

Combine like terms: 9y + -10y = -1y
11 + -1y = -8 + 10y + -10y

Combine like terms: 10y + -10y = 0
11 + -1y = -8 + 0
11 + -1y = -8

Add '-11' to each side of the equation.
11 + -11 + -1y = -8 + -11

Combine like terms: 11 + -11 = 0
0 + -1y = -8 + -11
-1y = -8 + -11

Combine like terms: -8 + -11 = -19
-1y = -19

Divide each side by '-1'.
y = 19

Simplifying
y = 19

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