3(1.5y-4)=4(y+2)

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Solution for 3(1.5y-4)=4(y+2) equation: 


Simplifying
3(1.5y + -4) = 4(y + 2)

Reorder the terms:
3(-4 + 1.5y) = 4(y + 2)
(-4 * 3 + 1.5y * 3) = 4(y + 2)
(-12 + 4.5y) = 4(y + 2)

Reorder the terms:
-12 + 4.5y = 4(2 + y)
-12 + 4.5y = (2 * 4 + y * 4)
-12 + 4.5y = (8 + 4y)

Solving
-12 + 4.5y = 8 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-12 + 4.5y + -4y = 8 + 4y + -4y

Combine like terms: 4.5y + -4y = 0.5y
-12 + 0.5y = 8 + 4y + -4y

Combine like terms: 4y + -4y = 0
-12 + 0.5y = 8 + 0
-12 + 0.5y = 8

Add '12' to each side of the equation.
-12 + 12 + 0.5y = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 0.5y = 8 + 12
0.5y = 8 + 12

Combine like terms: 8 + 12 = 20
0.5y = 20

Divide each side by '0.5'.
y = 40

Simplifying
y = 40

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