3(y-3)=7y-21

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Solution for 3(y-3)=7y-21 equation:


Simplifying
3(y + -3) = 7y + -21

Reorder the terms:
3(-3 + y) = 7y + -21
(-3 * 3 + y * 3) = 7y + -21
(-9 + 3y) = 7y + -21

Reorder the terms:
-9 + 3y = -21 + 7y

Solving
-9 + 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.
-9 + 3y + -7y = -21 + 7y + -7y

Combine like terms: 3y + -7y = -4y
-9 + -4y = -21 + 7y + -7y

Combine like terms: 7y + -7y = 0
-9 + -4y = -21 + 0
-9 + -4y = -21

Add '9' to each side of the equation.
-9 + 9 + -4y = -21 + 9

Combine like terms: -9 + 9 = 0
0 + -4y = -21 + 9
-4y = -21 + 9

Combine like terms: -21 + 9 = -12
-4y = -12

Divide each side by '-4'.
y = 3

Simplifying
y = 3

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