-4(-4y+8)-6y=6(y-5)-8

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Solution for -4(-4y+8)-6y=6(y-5)-8 equation:


Simplifying
-4(-4y + 8) + -6y = 6(y + -5) + -8

Reorder the terms:
-4(8 + -4y) + -6y = 6(y + -5) + -8
(8 * -4 + -4y * -4) + -6y = 6(y + -5) + -8
(-32 + 16y) + -6y = 6(y + -5) + -8

Combine like terms: 16y + -6y = 10y
-32 + 10y = 6(y + -5) + -8

Reorder the terms:
-32 + 10y = 6(-5 + y) + -8
-32 + 10y = (-5 * 6 + y * 6) + -8
-32 + 10y = (-30 + 6y) + -8

Reorder the terms:
-32 + 10y = -30 + -8 + 6y

Combine like terms: -30 + -8 = -38
-32 + 10y = -38 + 6y

Solving
-32 + 10y = -38 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-32 + 10y + -6y = -38 + 6y + -6y

Combine like terms: 10y + -6y = 4y
-32 + 4y = -38 + 6y + -6y

Combine like terms: 6y + -6y = 0
-32 + 4y = -38 + 0
-32 + 4y = -38

Add '32' to each side of the equation.
-32 + 32 + 4y = -38 + 32

Combine like terms: -32 + 32 = 0
0 + 4y = -38 + 32
4y = -38 + 32

Combine like terms: -38 + 32 = -6
4y = -6

Divide each side by '4'.
y = -1.5

Simplifying
y = -1.5

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