8+3(2y-3)=-2(3y-4)+6y

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Solution for 8+3(2y-3)=-2(3y-4)+6y equation:


Simplifying
8 + 3(2y + -3) = -2(3y + -4) + 6y

Reorder the terms:
8 + 3(-3 + 2y) = -2(3y + -4) + 6y
8 + (-3 * 3 + 2y * 3) = -2(3y + -4) + 6y
8 + (-9 + 6y) = -2(3y + -4) + 6y

Combine like terms: 8 + -9 = -1
-1 + 6y = -2(3y + -4) + 6y

Reorder the terms:
-1 + 6y = -2(-4 + 3y) + 6y
-1 + 6y = (-4 * -2 + 3y * -2) + 6y
-1 + 6y = (8 + -6y) + 6y

Combine like terms: -6y + 6y = 0
-1 + 6y = 8 + 0
-1 + 6y = 8

Solving
-1 + 6y = 8

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + 6y = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 6y = 8 + 1
6y = 8 + 1

Combine like terms: 8 + 1 = 9
6y = 9

Divide each side by '6'.
y = 1.5

Simplifying
y = 1.5

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