5(4.2y-2.4)=1.5(8y-4)

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Solution for 5(4.2y-2.4)=1.5(8y-4) equation:


Simplifying
5(4.2y + -2.4) = 1.5(8y + -4)

Reorder the terms:
5(-2.4 + 4.2y) = 1.5(8y + -4)
(-2.4 * 5 + 4.2y * 5) = 1.5(8y + -4)
(-12 + 21y) = 1.5(8y + -4)

Reorder the terms:
-12 + 21y = 1.5(-4 + 8y)
-12 + 21y = (-4 * 1.5 + 8y * 1.5)
-12 + 21y = (-6 + 12y)

Solving
-12 + 21y = -6 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-12 + 21y + -12y = -6 + 12y + -12y

Combine like terms: 21y + -12y = 9y
-12 + 9y = -6 + 12y + -12y

Combine like terms: 12y + -12y = 0
-12 + 9y = -6 + 0
-12 + 9y = -6

Add '12' to each side of the equation.
-12 + 12 + 9y = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 9y = -6 + 12
9y = -6 + 12

Combine like terms: -6 + 12 = 6
9y = 6

Divide each side by '9'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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