8y-4(y-3)=-9+5y+2

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Solution for 8y-4(y-3)=-9+5y+2 equation: 


Simplifying
8y + -4(y + -3) = -9 + 5y + 2

Reorder the terms:
8y + -4(-3 + y) = -9 + 5y + 2
8y + (-3 * -4 + y * -4) = -9 + 5y + 2
8y + (12 + -4y) = -9 + 5y + 2

Reorder the terms:
12 + 8y + -4y = -9 + 5y + 2

Combine like terms: 8y + -4y = 4y
12 + 4y = -9 + 5y + 2

Reorder the terms:
12 + 4y = -9 + 2 + 5y

Combine like terms: -9 + 2 = -7
12 + 4y = -7 + 5y

Solving
12 + 4y = -7 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
12 + 4y + -5y = -7 + 5y + -5y

Combine like terms: 4y + -5y = -1y
12 + -1y = -7 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + -1y = -7 + 0
12 + -1y = -7

Add '-12' to each side of the equation.
12 + -12 + -1y = -7 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = -7 + -12
-1y = -7 + -12

Combine like terms: -7 + -12 = -19
-1y = -19

Divide each side by '-1'.
y = 19

Simplifying
y = 19

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