-5x+4y=-5(x-y)+3

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Solution for -5x+4y=-5(x-y)+3 equation:


Simplifying
-5x + 4y = -5(x + -1y) + 3
-5x + 4y = (x * -5 + -1y * -5) + 3
-5x + 4y = (-5x + 5y) + 3

Reorder the terms:
-5x + 4y = 3 + -5x + 5y

Add '5x' to each side of the equation.
-5x + 5x + 4y = 3 + -5x + 5x + 5y

Combine like terms: -5x + 5x = 0
0 + 4y = 3 + -5x + 5x + 5y
4y = 3 + -5x + 5x + 5y

Combine like terms: -5x + 5x = 0
4y = 3 + 0 + 5y
4y = 3 + 5y

Solving
4y = 3 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
4y + -5y = 3 + 5y + -5y

Combine like terms: 4y + -5y = -1y
-1y = 3 + 5y + -5y

Combine like terms: 5y + -5y = 0
-1y = 3 + 0
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3

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