5y+8=2y-3x

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Solution for 5y+8=2y-3x equation:


Simplifying
5y + 8 = 2y + -3x

Reorder the terms:
8 + 5y = 2y + -3x

Reorder the terms:
8 + 5y = -3x + 2y

Solving
8 + 5y = -3x + 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.
8 + 5y + -2y = -3x + 2y + -2y

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

Combine like terms: 2y + -2y = 0
8 + 3y = -3x + 0
8 + 3y = -3x

Add '-8' to each side of the equation.
8 + -8 + 3y = -8 + -3x

Combine like terms: 8 + -8 = 0
0 + 3y = -8 + -3x
3y = -8 + -3x

Divide each side by '3'.
y = -2.666666667 + -1x

Simplifying
y = -2.666666667 + -1x

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