-8y+42=-3(y-4)

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Solution for -8y+42=-3(y-4) equation:


Simplifying
-8y + 42 = -3(y + -4)

Reorder the terms:
42 + -8y = -3(y + -4)

Reorder the terms:
42 + -8y = -3(-4 + y)
42 + -8y = (-4 * -3 + y * -3)
42 + -8y = (12 + -3y)

Solving
42 + -8y = 12 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
42 + -8y + 3y = 12 + -3y + 3y

Combine like terms: -8y + 3y = -5y
42 + -5y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
42 + -5y = 12 + 0
42 + -5y = 12

Add '-42' to each side of the equation.
42 + -42 + -5y = 12 + -42

Combine like terms: 42 + -42 = 0
0 + -5y = 12 + -42
-5y = 12 + -42

Combine like terms: 12 + -42 = -30
-5y = -30

Divide each side by '-5'.
y = 6

Simplifying
y = 6

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