0.18(y-7)+0.10y=0.16y-0.07(30)

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Solution for 0.18(y-7)+0.10y=0.16y-0.07(30) equation: 


Simplifying
0.18(y + -7) + 0.10y = 0.16y + -0.07(30)

Reorder the terms:
0.18(-7 + y) + 0.10y = 0.16y + -0.07(30)
(-7 * 0.18 + y * 0.18) + 0.10y = 0.16y + -0.07(30)
(-1.26 + 0.18y) + 0.10y = 0.16y + -0.07(30)

Combine like terms: 0.18y + 0.10y = 0.28y
-1.26 + 0.28y = 0.16y + -0.07(30)

Multiply -0.07 * 30
-1.26 + 0.28y = 0.16y + -2.1

Reorder the terms:
-1.26 + 0.28y = -2.1 + 0.16y

Solving
-1.26 + 0.28y = -2.1 + 0.16y

Solving for variable 'y'.

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

Add '-0.16y' to each side of the equation.
-1.26 + 0.28y + -0.16y = -2.1 + 0.16y + -0.16y

Combine like terms: 0.28y + -0.16y = 0.12y
-1.26 + 0.12y = -2.1 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-1.26 + 0.12y = -2.1 + 0.00
-1.26 + 0.12y = -2.1

Add '1.26' to each side of the equation.
-1.26 + 1.26 + 0.12y = -2.1 + 1.26

Combine like terms: -1.26 + 1.26 = 0.00
0.00 + 0.12y = -2.1 + 1.26
0.12y = -2.1 + 1.26

Combine like terms: -2.1 + 1.26 = -0.84
0.12y = -0.84

Divide each side by '0.12'.
y = -7

Simplifying
y = -7

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