3y+6=3x+5y-4

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Solution for 3y+6=3x+5y-4 equation:


Simplifying
3y + 6 = 3x + 5y + -4

Reorder the terms:
6 + 3y = 3x + 5y + -4

Reorder the terms:
6 + 3y = -4 + 3x + 5y

Solving
6 + 3y = -4 + 3x + 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.
6 + 3y + -5y = -4 + 3x + 5y + -5y

Combine like terms: 3y + -5y = -2y
6 + -2y = -4 + 3x + 5y + -5y

Combine like terms: 5y + -5y = 0
6 + -2y = -4 + 3x + 0
6 + -2y = -4 + 3x

Add '-6' to each side of the equation.
6 + -6 + -2y = -4 + -6 + 3x

Combine like terms: 6 + -6 = 0
0 + -2y = -4 + -6 + 3x
-2y = -4 + -6 + 3x

Combine like terms: -4 + -6 = -10
-2y = -10 + 3x

Divide each side by '-2'.
y = 5 + -1.5x

Simplifying
y = 5 + -1.5x

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