3y+15=7y-21

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Solution for 3y+15=7y-21 equation:


Simplifying
3y + 15 = 7y + -21

Reorder the terms:
15 + 3y = 7y + -21

Reorder the terms:
15 + 3y = -21 + 7y

Solving
15 + 3y = -21 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
15 + 3y + -7y = -21 + 7y + -7y

Combine like terms: 3y + -7y = -4y
15 + -4y = -21 + 7y + -7y

Combine like terms: 7y + -7y = 0
15 + -4y = -21 + 0
15 + -4y = -21

Add '-15' to each side of the equation.
15 + -15 + -4y = -21 + -15

Combine like terms: 15 + -15 = 0
0 + -4y = -21 + -15
-4y = -21 + -15

Combine like terms: -21 + -15 = -36
-4y = -36

Divide each side by '-4'.
y = 9

Simplifying
y = 9

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