2(2y-3)=5x-3-x+9

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


Simplifying
2(2y + -3) = 5x + -3 + -1x + 9

Reorder the terms:
2(-3 + 2y) = 5x + -3 + -1x + 9
(-3 * 2 + 2y * 2) = 5x + -3 + -1x + 9
(-6 + 4y) = 5x + -3 + -1x + 9

Reorder the terms:
-6 + 4y = -3 + 9 + 5x + -1x

Combine like terms: -3 + 9 = 6
-6 + 4y = 6 + 5x + -1x

Combine like terms: 5x + -1x = 4x
-6 + 4y = 6 + 4x

Solving
-6 + 4y = 6 + 4x

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 4y = 6 + 6 + 4x

Combine like terms: -6 + 6 = 0
0 + 4y = 6 + 6 + 4x
4y = 6 + 6 + 4x

Combine like terms: 6 + 6 = 12
4y = 12 + 4x

Divide each side by '4'.
y = 3 + x

Simplifying
y = 3 + x

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