-5(4y+5)-11=-8(y+8)+4y

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Solution for -5(4y+5)-11=-8(y+8)+4y equation:


Simplifying
-5(4y + 5) + -11 = -8(y + 8) + 4y

Reorder the terms:
-5(5 + 4y) + -11 = -8(y + 8) + 4y
(5 * -5 + 4y * -5) + -11 = -8(y + 8) + 4y
(-25 + -20y) + -11 = -8(y + 8) + 4y

Reorder the terms:
-25 + -11 + -20y = -8(y + 8) + 4y

Combine like terms: -25 + -11 = -36
-36 + -20y = -8(y + 8) + 4y

Reorder the terms:
-36 + -20y = -8(8 + y) + 4y
-36 + -20y = (8 * -8 + y * -8) + 4y
-36 + -20y = (-64 + -8y) + 4y

Combine like terms: -8y + 4y = -4y
-36 + -20y = -64 + -4y

Solving
-36 + -20y = -64 + -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.
-36 + -20y + 4y = -64 + -4y + 4y

Combine like terms: -20y + 4y = -16y
-36 + -16y = -64 + -4y + 4y

Combine like terms: -4y + 4y = 0
-36 + -16y = -64 + 0
-36 + -16y = -64

Add '36' to each side of the equation.
-36 + 36 + -16y = -64 + 36

Combine like terms: -36 + 36 = 0
0 + -16y = -64 + 36
-16y = -64 + 36

Combine like terms: -64 + 36 = -28
-16y = -28

Divide each side by '-16'.
y = 1.75

Simplifying
y = 1.75

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