2y-3(y-2x)=8(x-1)+3

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Solution for 2y-3(y-2x)=8(x-1)+3 equation: 


Simplifying
2y + -3(y + -2x) = 8(x + -1) + 3

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

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

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

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

Reorder the terms:
6x + -1y = -8 + 3 + 8x

Combine like terms: -8 + 3 = -5
6x + -1y = -5 + 8x

Solving
6x + -1y = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6x + -8x + -1y = -5 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-2x + -1y = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2x + -1y = -5 + 0
-2x + -1y = -5

Add 'y' to each side of the equation.
-2x + -1y + y = -5 + y

Combine like terms: -1y + y = 0
-2x + 0 = -5 + y
-2x = -5 + y

Divide each side by '-2'.
x = 2.5 + -0.5y

Simplifying
x = 2.5 + -0.5y

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