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

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


Simplifying
y = 5(x + y) + 3(x + -1y)
y = (x * 5 + y * 5) + 3(x + -1y)
y = (5x + 5y) + 3(x + -1y)
y = 5x + 5y + (x * 3 + -1y * 3)
y = 5x + 5y + (3x + -3y)

Reorder the terms:
y = 5x + 3x + 5y + -3y

Combine like terms: 5x + 3x = 8x
y = 8x + 5y + -3y

Combine like terms: 5y + -3y = 2y
y = 8x + 2y

Solving
y = 8x + 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.
y + -2y = 8x + 2y + -2y

Combine like terms: y + -2y = -1y
-1y = 8x + 2y + -2y

Combine like terms: 2y + -2y = 0
-1y = 8x + 0
-1y = 8x

Divide each side by '-1'.
y = -8x

Simplifying
y = -8x

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