5y=3(x+y)-4

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


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

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

Solving
5y = -4 + 3x + 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.
5y + -3y = -4 + 3x + 3y + -3y

Combine like terms: 5y + -3y = 2y
2y = -4 + 3x + 3y + -3y

Combine like terms: 3y + -3y = 0
2y = -4 + 3x + 0
2y = -4 + 3x

Divide each side by '2'.
y = -2 + 1.5x

Simplifying
y = -2 + 1.5x

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