4(y-3)-4=-3(-6y+8)-8y

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Solution for 4(y-3)-4=-3(-6y+8)-8y equation:


Simplifying
4(y + -3) + -4 = -3(-6y + 8) + -8y

Reorder the terms:
4(-3 + y) + -4 = -3(-6y + 8) + -8y
(-3 * 4 + y * 4) + -4 = -3(-6y + 8) + -8y
(-12 + 4y) + -4 = -3(-6y + 8) + -8y

Reorder the terms:
-12 + -4 + 4y = -3(-6y + 8) + -8y

Combine like terms: -12 + -4 = -16
-16 + 4y = -3(-6y + 8) + -8y

Reorder the terms:
-16 + 4y = -3(8 + -6y) + -8y
-16 + 4y = (8 * -3 + -6y * -3) + -8y
-16 + 4y = (-24 + 18y) + -8y

Combine like terms: 18y + -8y = 10y
-16 + 4y = -24 + 10y

Solving
-16 + 4y = -24 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-16 + 4y + -10y = -24 + 10y + -10y

Combine like terms: 4y + -10y = -6y
-16 + -6y = -24 + 10y + -10y

Combine like terms: 10y + -10y = 0
-16 + -6y = -24 + 0
-16 + -6y = -24

Add '16' to each side of the equation.
-16 + 16 + -6y = -24 + 16

Combine like terms: -16 + 16 = 0
0 + -6y = -24 + 16
-6y = -24 + 16

Combine like terms: -24 + 16 = -8
-6y = -8

Divide each side by '-6'.
y = 1.333333333

Simplifying
y = 1.333333333

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