-3(4y+5)-7=-8(Y+4)+4y

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Solution for -3(4y+5)-7=-8(Y+4)+4y equation:


Simplifying
-3(4y + 5) + -7 = -8(Y + 4) + 4y

Reorder the terms:
-3(5 + 4y) + -7 = -8(Y + 4) + 4y
(5 * -3 + 4y * -3) + -7 = -8(Y + 4) + 4y
(-15 + -12y) + -7 = -8(Y + 4) + 4y

Reorder the terms:
-15 + -7 + -12y = -8(Y + 4) + 4y

Combine like terms: -15 + -7 = -22
-22 + -12y = -8(Y + 4) + 4y

Reorder the terms:
-22 + -12y = -8(4 + Y) + 4y
-22 + -12y = (4 * -8 + Y * -8) + 4y
-22 + -12y = (-32 + -8Y) + 4y

Solving
-22 + -12y = -32 + -8Y + 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.
-22 + -12y + -4y = -32 + -8Y + 4y + -4y

Combine like terms: -12y + -4y = -16y
-22 + -16y = -32 + -8Y + 4y + -4y

Combine like terms: 4y + -4y = 0
-22 + -16y = -32 + -8Y + 0
-22 + -16y = -32 + -8Y

Add '22' to each side of the equation.
-22 + 22 + -16y = -32 + 22 + -8Y

Combine like terms: -22 + 22 = 0
0 + -16y = -32 + 22 + -8Y
-16y = -32 + 22 + -8Y

Combine like terms: -32 + 22 = -10
-16y = -10 + -8Y

Divide each side by '-16'.
y = 0.625 + 0.5Y

Simplifying
y = 0.625 + 0.5Y

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