5y+10=3y-28

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Solution for 5y+10=3y-28 equation: 


Simplifying
5y + 10 = 3y + -28

Reorder the terms:
10 + 5y = 3y + -28

Reorder the terms:
10 + 5y = -28 + 3y

Solving
10 + 5y = -28 + 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.
10 + 5y + -3y = -28 + 3y + -3y

Combine like terms: 5y + -3y = 2y
10 + 2y = -28 + 3y + -3y

Combine like terms: 3y + -3y = 0
10 + 2y = -28 + 0
10 + 2y = -28

Add '-10' to each side of the equation.
10 + -10 + 2y = -28 + -10

Combine like terms: 10 + -10 = 0
0 + 2y = -28 + -10
2y = -28 + -10

Combine like terms: -28 + -10 = -38
2y = -38

Divide each side by '2'.
y = -19

Simplifying
y = -19

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