3y+7=20-(4x-y)

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Solution for 3y+7=20-(4x-y) equation:


Simplifying
3y + 7 = 20 + -1(4x + -1y)

Reorder the terms:
7 + 3y = 20 + -1(4x + -1y)
7 + 3y = 20 + (4x * -1 + -1y * -1)
7 + 3y = 20 + (-4x + 1y)

Solving
7 + 3y = 20 + -4x + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
7 + 3y + -1y = 20 + -4x + 1y + -1y

Combine like terms: 3y + -1y = 2y
7 + 2y = 20 + -4x + 1y + -1y

Combine like terms: 1y + -1y = 0
7 + 2y = 20 + -4x + 0
7 + 2y = 20 + -4x

Add '-7' to each side of the equation.
7 + -7 + 2y = 20 + -7 + -4x

Combine like terms: 7 + -7 = 0
0 + 2y = 20 + -7 + -4x
2y = 20 + -7 + -4x

Combine like terms: 20 + -7 = 13
2y = 13 + -4x

Divide each side by '2'.
y = 6.5 + -2x

Simplifying
y = 6.5 + -2x

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