5(3y+12)=6(5y+20)

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Solution for 5(3y+12)=6(5y+20) equation:


Simplifying
5(3y + 12) = 6(5y + 20)

Reorder the terms:
5(12 + 3y) = 6(5y + 20)
(12 * 5 + 3y * 5) = 6(5y + 20)
(60 + 15y) = 6(5y + 20)

Reorder the terms:
60 + 15y = 6(20 + 5y)
60 + 15y = (20 * 6 + 5y * 6)
60 + 15y = (120 + 30y)

Solving
60 + 15y = 120 + 30y

Solving for variable 'y'.

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

Add '-30y' to each side of the equation.
60 + 15y + -30y = 120 + 30y + -30y

Combine like terms: 15y + -30y = -15y
60 + -15y = 120 + 30y + -30y

Combine like terms: 30y + -30y = 0
60 + -15y = 120 + 0
60 + -15y = 120

Add '-60' to each side of the equation.
60 + -60 + -15y = 120 + -60

Combine like terms: 60 + -60 = 0
0 + -15y = 120 + -60
-15y = 120 + -60

Combine like terms: 120 + -60 = 60
-15y = 60

Divide each side by '-15'.
y = -4

Simplifying
y = -4

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