-4(4y+2)-9=-8(y+4)+4y

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


Simplifying
-4(4y + 2) + -9 = -8(y + 4) + 4y

Reorder the terms:
-4(2 + 4y) + -9 = -8(y + 4) + 4y
(2 * -4 + 4y * -4) + -9 = -8(y + 4) + 4y
(-8 + -16y) + -9 = -8(y + 4) + 4y

Reorder the terms:
-8 + -9 + -16y = -8(y + 4) + 4y

Combine like terms: -8 + -9 = -17
-17 + -16y = -8(y + 4) + 4y

Reorder the terms:
-17 + -16y = -8(4 + y) + 4y
-17 + -16y = (4 * -8 + y * -8) + 4y
-17 + -16y = (-32 + -8y) + 4y

Combine like terms: -8y + 4y = -4y
-17 + -16y = -32 + -4y

Solving
-17 + -16y = -32 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-17 + -16y + 4y = -32 + -4y + 4y

Combine like terms: -16y + 4y = -12y
-17 + -12y = -32 + -4y + 4y

Combine like terms: -4y + 4y = 0
-17 + -12y = -32 + 0
-17 + -12y = -32

Add '17' to each side of the equation.
-17 + 17 + -12y = -32 + 17

Combine like terms: -17 + 17 = 0
0 + -12y = -32 + 17
-12y = -32 + 17

Combine like terms: -32 + 17 = -15
-12y = -15

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

Simplifying
y = 1.25

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