-4(4y+1)-7=-8(y+4)+4y

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


Simplifying
-4(4y + 1) + -7 = -8(y + 4) + 4y

Reorder the terms:
-4(1 + 4y) + -7 = -8(y + 4) + 4y
(1 * -4 + 4y * -4) + -7 = -8(y + 4) + 4y
(-4 + -16y) + -7 = -8(y + 4) + 4y

Reorder the terms:
-4 + -7 + -16y = -8(y + 4) + 4y

Combine like terms: -4 + -7 = -11
-11 + -16y = -8(y + 4) + 4y

Reorder the terms:
-11 + -16y = -8(4 + y) + 4y
-11 + -16y = (4 * -8 + y * -8) + 4y
-11 + -16y = (-32 + -8y) + 4y

Combine like terms: -8y + 4y = -4y
-11 + -16y = -32 + -4y

Solving
-11 + -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.
-11 + -16y + 4y = -32 + -4y + 4y

Combine like terms: -16y + 4y = -12y
-11 + -12y = -32 + -4y + 4y

Combine like terms: -4y + 4y = 0
-11 + -12y = -32 + 0
-11 + -12y = -32

Add '11' to each side of the equation.
-11 + 11 + -12y = -32 + 11

Combine like terms: -11 + 11 = 0
0 + -12y = -32 + 11
-12y = -32 + 11

Combine like terms: -32 + 11 = -21
-12y = -21

Divide each side by '-12'.
y = 1.75

Simplifying
y = 1.75

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