3y+21=4y-12

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Solution for 3y+21=4y-12 equation:


Simplifying
3y + 21 = 4y + -12

Reorder the terms:
21 + 3y = 4y + -12

Reorder the terms:
21 + 3y = -12 + 4y

Solving
21 + 3y = -12 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
21 + 3y + -4y = -12 + 4y + -4y

Combine like terms: 3y + -4y = -1y
21 + -1y = -12 + 4y + -4y

Combine like terms: 4y + -4y = 0
21 + -1y = -12 + 0
21 + -1y = -12

Add '-21' to each side of the equation.
21 + -21 + -1y = -12 + -21

Combine like terms: 21 + -21 = 0
0 + -1y = -12 + -21
-1y = -12 + -21

Combine like terms: -12 + -21 = -33
-1y = -33

Divide each side by '-1'.
y = 33

Simplifying
y = 33

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