8(2y-3)=-4y+10-4y+2

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Solution for 8(2y-3)=-4y+10-4y+2 equation: 


Simplifying
8(2y + -3) = -4y + 10 + -4y + 2

Reorder the terms:
8(-3 + 2y) = -4y + 10 + -4y + 2
(-3 * 8 + 2y * 8) = -4y + 10 + -4y + 2
(-24 + 16y) = -4y + 10 + -4y + 2

Reorder the terms:
-24 + 16y = 10 + 2 + -4y + -4y

Combine like terms: 10 + 2 = 12
-24 + 16y = 12 + -4y + -4y

Combine like terms: -4y + -4y = -8y
-24 + 16y = 12 + -8y

Solving
-24 + 16y = 12 + -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.
-24 + 16y + 8y = 12 + -8y + 8y

Combine like terms: 16y + 8y = 24y
-24 + 24y = 12 + -8y + 8y

Combine like terms: -8y + 8y = 0
-24 + 24y = 12 + 0
-24 + 24y = 12

Add '24' to each side of the equation.
-24 + 24 + 24y = 12 + 24

Combine like terms: -24 + 24 = 0
0 + 24y = 12 + 24
24y = 12 + 24

Combine like terms: 12 + 24 = 36
24y = 36

Divide each side by '24'.
y = 1.5

Simplifying
y = 1.5

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