5(2.4y+6)=3(0.5y-4)

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Solution for 5(2.4y+6)=3(0.5y-4) equation: 


Simplifying
5(2.4y + 6) = 3(0.5y + -4)

Reorder the terms:
5(6 + 2.4y) = 3(0.5y + -4)
(6 * 5 + 2.4y * 5) = 3(0.5y + -4)
(30 + 12y) = 3(0.5y + -4)

Reorder the terms:
30 + 12y = 3(-4 + 0.5y)
30 + 12y = (-4 * 3 + 0.5y * 3)
30 + 12y = (-12 + 1.5y)

Solving
30 + 12y = -12 + 1.5y

Solving for variable 'y'.

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

Add '-1.5y' to each side of the equation.
30 + 12y + -1.5y = -12 + 1.5y + -1.5y

Combine like terms: 12y + -1.5y = 10.5y
30 + 10.5y = -12 + 1.5y + -1.5y

Combine like terms: 1.5y + -1.5y = 0.0
30 + 10.5y = -12 + 0.0
30 + 10.5y = -12

Add '-30' to each side of the equation.
30 + -30 + 10.5y = -12 + -30

Combine like terms: 30 + -30 = 0
0 + 10.5y = -12 + -30
10.5y = -12 + -30

Combine like terms: -12 + -30 = -42
10.5y = -42

Divide each side by '10.5'.
y = -4

Simplifying
y = -4

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