-3(4y+3)-9=-8(y+4)+4y

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Solution for -3(4y+3)-9=-8(y+4)+4y equation:


Simplifying
-3(4y + 3) + -9 = -8(y + 4) + 4y

Reorder the terms:
-3(3 + 4y) + -9 = -8(y + 4) + 4y
(3 * -3 + 4y * -3) + -9 = -8(y + 4) + 4y
(-9 + -12y) + -9 = -8(y + 4) + 4y

Reorder the terms:
-9 + -9 + -12y = -8(y + 4) + 4y

Combine like terms: -9 + -9 = -18
-18 + -12y = -8(y + 4) + 4y

Reorder the terms:
-18 + -12y = -8(4 + y) + 4y
-18 + -12y = (4 * -8 + y * -8) + 4y
-18 + -12y = (-32 + -8y) + 4y

Combine like terms: -8y + 4y = -4y
-18 + -12y = -32 + -4y

Solving
-18 + -12y = -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.
-18 + -12y + 4y = -32 + -4y + 4y

Combine like terms: -12y + 4y = -8y
-18 + -8y = -32 + -4y + 4y

Combine like terms: -4y + 4y = 0
-18 + -8y = -32 + 0
-18 + -8y = -32

Add '18' to each side of the equation.
-18 + 18 + -8y = -32 + 18

Combine like terms: -18 + 18 = 0
0 + -8y = -32 + 18
-8y = -32 + 18

Combine like terms: -32 + 18 = -14
-8y = -14

Divide each side by '-8'.
y = 1.75

Simplifying
y = 1.75

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