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

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


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

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

Reorder the terms:
-12 + 3y = 8(4 + y) + -4
-12 + 3y = (4 * 8 + y * 8) + -4
-12 + 3y = (32 + 8y) + -4

Reorder the terms:
-12 + 3y = 32 + -4 + 8y

Combine like terms: 32 + -4 = 28
-12 + 3y = 28 + 8y

Solving
-12 + 3y = 28 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-12 + 3y + -8y = 28 + 8y + -8y

Combine like terms: 3y + -8y = -5y
-12 + -5y = 28 + 8y + -8y

Combine like terms: 8y + -8y = 0
-12 + -5y = 28 + 0
-12 + -5y = 28

Add '12' to each side of the equation.
-12 + 12 + -5y = 28 + 12

Combine like terms: -12 + 12 = 0
0 + -5y = 28 + 12
-5y = 28 + 12

Combine like terms: 28 + 12 = 40
-5y = 40

Divide each side by '-5'.
y = -8

Simplifying
y = -8

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