3(y+4)=5y+30

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Solution for 3(y+4)=5y+30 equation:


Simplifying
3(y + 4) = 5y + 30

Reorder the terms:
3(4 + y) = 5y + 30
(4 * 3 + y * 3) = 5y + 30
(12 + 3y) = 5y + 30

Reorder the terms:
12 + 3y = 30 + 5y

Solving
12 + 3y = 30 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
12 + 3y + -5y = 30 + 5y + -5y

Combine like terms: 3y + -5y = -2y
12 + -2y = 30 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + -2y = 30 + 0
12 + -2y = 30

Add '-12' to each side of the equation.
12 + -12 + -2y = 30 + -12

Combine like terms: 12 + -12 = 0
0 + -2y = 30 + -12
-2y = 30 + -12

Combine like terms: 30 + -12 = 18
-2y = 18

Divide each side by '-2'.
y = -9

Simplifying
y = -9

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