3(y-4)=7y+20

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Solution for 3(y-4)=7y+20 equation:


Simplifying
3(y + -4) = 7y + 20

Reorder the terms:
3(-4 + y) = 7y + 20
(-4 * 3 + y * 3) = 7y + 20
(-12 + 3y) = 7y + 20

Reorder the terms:
-12 + 3y = 20 + 7y

Solving
-12 + 3y = 20 + 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.
-12 + 3y + -7y = 20 + 7y + -7y

Combine like terms: 3y + -7y = -4y
-12 + -4y = 20 + 7y + -7y

Combine like terms: 7y + -7y = 0
-12 + -4y = 20 + 0
-12 + -4y = 20

Add '12' to each side of the equation.
-12 + 12 + -4y = 20 + 12

Combine like terms: -12 + 12 = 0
0 + -4y = 20 + 12
-4y = 20 + 12

Combine like terms: 20 + 12 = 32
-4y = 32

Divide each side by '-4'.
y = -8

Simplifying
y = -8

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