4x-3(y-2)=15-y

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Solution for 4x-3(y-2)=15-y equation:


Simplifying
4x + -3(y + -2) = 15 + -1y

Reorder the terms:
4x + -3(-2 + y) = 15 + -1y
4x + (-2 * -3 + y * -3) = 15 + -1y
4x + (6 + -3y) = 15 + -1y

Reorder the terms:
6 + 4x + -3y = 15 + -1y

Solving
6 + 4x + -3y = 15 + -1y

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + 4x + -6 + -3y = 15 + -6 + -1y

Reorder the terms:
6 + -6 + 4x + -3y = 15 + -6 + -1y

Combine like terms: 6 + -6 = 0
0 + 4x + -3y = 15 + -6 + -1y
4x + -3y = 15 + -6 + -1y

Combine like terms: 15 + -6 = 9
4x + -3y = 9 + -1y

Add '3y' to each side of the equation.
4x + -3y + 3y = 9 + -1y + 3y

Combine like terms: -3y + 3y = 0
4x + 0 = 9 + -1y + 3y
4x = 9 + -1y + 3y

Combine like terms: -1y + 3y = 2y
4x = 9 + 2y

Divide each side by '4'.
x = 2.25 + 0.5y

Simplifying
x = 2.25 + 0.5y

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