4y+6=3y-2x

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Solution for 4y+6=3y-2x equation:


Simplifying
4y + 6 = 3y + -2x

Reorder the terms:
6 + 4y = 3y + -2x

Reorder the terms:
6 + 4y = -2x + 3y

Solving
6 + 4y = -2x + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
6 + 4y + -3y = -2x + 3y + -3y

Combine like terms: 4y + -3y = 1y
6 + 1y = -2x + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + 1y = -2x + 0
6 + 1y = -2x

Add '-6' to each side of the equation.
6 + -6 + 1y = -6 + -2x

Combine like terms: 6 + -6 = 0
0 + 1y = -6 + -2x
1y = -6 + -2x

Divide each side by '1'.
y = -6 + -2x

Simplifying
y = -6 + -2x

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