3y+21=2y+18-y

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Solution for 3y+21=2y+18-y equation:


Simplifying
3y + 21 = 2y + 18 + -1y

Reorder the terms:
21 + 3y = 2y + 18 + -1y

Reorder the terms:
21 + 3y = 18 + 2y + -1y

Combine like terms: 2y + -1y = 1y
21 + 3y = 18 + 1y

Solving
21 + 3y = 18 + 1y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1y' to each side of the equation.
21 + 3y + -1y = 18 + 1y + -1y

Combine like terms: 3y + -1y = 2y
21 + 2y = 18 + 1y + -1y

Combine like terms: 1y + -1y = 0
21 + 2y = 18 + 0
21 + 2y = 18

Add '-21' to each side of the equation.
21 + -21 + 2y = 18 + -21

Combine like terms: 21 + -21 = 0
0 + 2y = 18 + -21
2y = 18 + -21

Combine like terms: 18 + -21 = -3
2y = -3

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

Simplifying
y = -1.5

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