y-1+4=2y-7+2x

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Solution for y-1+4=2y-7+2x equation:


Simplifying
y + -1 + 4 = 2y + -7 + 2x

Reorder the terms:
-1 + 4 + y = 2y + -7 + 2x

Combine like terms: -1 + 4 = 3
3 + y = 2y + -7 + 2x

Reorder the terms:
3 + y = -7 + 2x + 2y

Solving
3 + y = -7 + 2x + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
3 + y + -2y = -7 + 2x + 2y + -2y

Combine like terms: y + -2y = -1y
3 + -1y = -7 + 2x + 2y + -2y

Combine like terms: 2y + -2y = 0
3 + -1y = -7 + 2x + 0
3 + -1y = -7 + 2x

Add '-3' to each side of the equation.
3 + -3 + -1y = -7 + -3 + 2x

Combine like terms: 3 + -3 = 0
0 + -1y = -7 + -3 + 2x
-1y = -7 + -3 + 2x

Combine like terms: -7 + -3 = -10
-1y = -10 + 2x

Divide each side by '-1'.
y = 10 + -2x

Simplifying
y = 10 + -2x

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