3y+2-8y=-4(y-3)

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Solution for 3y+2-8y=-4(y-3) equation: 


Simplifying
3y + 2 + -8y = -4(y + -3)

Reorder the terms:
2 + 3y + -8y = -4(y + -3)

Combine like terms: 3y + -8y = -5y
2 + -5y = -4(y + -3)

Reorder the terms:
2 + -5y = -4(-3 + y)
2 + -5y = (-3 * -4 + y * -4)
2 + -5y = (12 + -4y)

Solving
2 + -5y = 12 + -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.
2 + -5y + 4y = 12 + -4y + 4y

Combine like terms: -5y + 4y = -1y
2 + -1y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
2 + -1y = 12 + 0
2 + -1y = 12

Add '-2' to each side of the equation.
2 + -2 + -1y = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 12 + -2
-1y = 12 + -2

Combine like terms: 12 + -2 = 10
-1y = 10

Divide each side by '-1'.
y = -10

Simplifying
y = -10

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