3y+10=2y-21

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Solution for 3y+10=2y-21 equation:


Simplifying
3y + 10 = 2y + -21

Reorder the terms:
10 + 3y = 2y + -21

Reorder the terms:
10 + 3y = -21 + 2y

Solving
10 + 3y = -21 + 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.
10 + 3y + -2y = -21 + 2y + -2y

Combine like terms: 3y + -2y = 1y
10 + 1y = -21 + 2y + -2y

Combine like terms: 2y + -2y = 0
10 + 1y = -21 + 0
10 + 1y = -21

Add '-10' to each side of the equation.
10 + -10 + 1y = -21 + -10

Combine like terms: 10 + -10 = 0
0 + 1y = -21 + -10
1y = -21 + -10

Combine like terms: -21 + -10 = -31
1y = -31

Divide each side by '1'.
y = -31

Simplifying
y = -31

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