.9(4y-3)-12y=4(27+5y)

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Solution for .9(4y-3)-12y=4(27+5y) equation:


Simplifying
0.9(4y + -3) + -12y = 4(27 + 5y)

Reorder the terms:
0.9(-3 + 4y) + -12y = 4(27 + 5y)
(-3 * 0.9 + 4y * 0.9) + -12y = 4(27 + 5y)
(-2.7 + 3.6y) + -12y = 4(27 + 5y)

Combine like terms: 3.6y + -12y = -8.4y
-2.7 + -8.4y = 4(27 + 5y)
-2.7 + -8.4y = (27 * 4 + 5y * 4)
-2.7 + -8.4y = (108 + 20y)

Solving
-2.7 + -8.4y = 108 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-2.7 + -8.4y + -20y = 108 + 20y + -20y

Combine like terms: -8.4y + -20y = -28.4y
-2.7 + -28.4y = 108 + 20y + -20y

Combine like terms: 20y + -20y = 0
-2.7 + -28.4y = 108 + 0
-2.7 + -28.4y = 108

Add '2.7' to each side of the equation.
-2.7 + 2.7 + -28.4y = 108 + 2.7

Combine like terms: -2.7 + 2.7 = 0.0
0.0 + -28.4y = 108 + 2.7
-28.4y = 108 + 2.7

Combine like terms: 108 + 2.7 = 110.7
-28.4y = 110.7

Divide each side by '-28.4'.
y = -3.897887324

Simplifying
y = -3.897887324

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