0.16(12y+18)-9=-0.2(5y-45)

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Solution for 0.16(12y+18)-9=-0.2(5y-45) equation: 


Simplifying
0.16(12y + 18) + -9 = -0.2(5y + -45)

Reorder the terms:
0.16(18 + 12y) + -9 = -0.2(5y + -45)
(18 * 0.16 + 12y * 0.16) + -9 = -0.2(5y + -45)
(2.88 + 1.92y) + -9 = -0.2(5y + -45)

Reorder the terms:
2.88 + -9 + 1.92y = -0.2(5y + -45)

Combine like terms: 2.88 + -9 = -6.12
-6.12 + 1.92y = -0.2(5y + -45)

Reorder the terms:
-6.12 + 1.92y = -0.2(-45 + 5y)
-6.12 + 1.92y = (-45 * -0.2 + 5y * -0.2)
-6.12 + 1.92y = (9 + -1y)

Solving
-6.12 + 1.92y = 9 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-6.12 + 1.92y + y = 9 + -1y + y

Combine like terms: 1.92y + y = 2.92y
-6.12 + 2.92y = 9 + -1y + y

Combine like terms: -1y + y = 0
-6.12 + 2.92y = 9 + 0
-6.12 + 2.92y = 9

Add '6.12' to each side of the equation.
-6.12 + 6.12 + 2.92y = 9 + 6.12

Combine like terms: -6.12 + 6.12 = 0.00
0.00 + 2.92y = 9 + 6.12
2.92y = 9 + 6.12

Combine like terms: 9 + 6.12 = 15.12
2.92y = 15.12

Divide each side by '2.92'.
y = 5.178082192

Simplifying
y = 5.178082192

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