3y+3=7y-21

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


Simplifying
3y + 3 = 7y + -21

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

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

Solving
3 + 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.
3 + 3y + -7y = -21 + 7y + -7y

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

Combine like terms: 7y + -7y = 0
3 + -4y = -21 + 0
3 + -4y = -21

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

Combine like terms: 3 + -3 = 0
0 + -4y = -21 + -3
-4y = -21 + -3

Combine like terms: -21 + -3 = -24
-4y = -24

Divide each side by '-4'.
y = 6

Simplifying
y = 6

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