.18(y-6)+.06y=.12y-.07(30)

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Solution for .18(y-6)+.06y=.12y-.07(30) equation:


Simplifying
0.18(y + -6) + 0.06y = 0.12y + -0.07(30)

Reorder the terms:
0.18(-6 + y) + 0.06y = 0.12y + -0.07(30)
(-6 * 0.18 + y * 0.18) + 0.06y = 0.12y + -0.07(30)
(-1.08 + 0.18y) + 0.06y = 0.12y + -0.07(30)

Combine like terms: 0.18y + 0.06y = 0.24y
-1.08 + 0.24y = 0.12y + -0.07(30)

Multiply -0.07 * 30
-1.08 + 0.24y = 0.12y + -2.1

Reorder the terms:
-1.08 + 0.24y = -2.1 + 0.12y

Solving
-1.08 + 0.24y = -2.1 + 0.12y

Solving for variable 'y'.

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

Add '-0.12y' to each side of the equation.
-1.08 + 0.24y + -0.12y = -2.1 + 0.12y + -0.12y

Combine like terms: 0.24y + -0.12y = 0.12y
-1.08 + 0.12y = -2.1 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-1.08 + 0.12y = -2.1 + 0.00
-1.08 + 0.12y = -2.1

Add '1.08' to each side of the equation.
-1.08 + 1.08 + 0.12y = -2.1 + 1.08

Combine like terms: -1.08 + 1.08 = 0.00
0.00 + 0.12y = -2.1 + 1.08
0.12y = -2.1 + 1.08

Combine like terms: -2.1 + 1.08 = -1.02
0.12y = -1.02

Divide each side by '0.12'.
y = -8.5

Simplifying
y = -8.5

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