0.12(y-8)+0.10=0.02y-0.07(30)

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Solution for 0.12(y-8)+0.10=0.02y-0.07(30) equation: 


Simplifying
0.12(y + -8) + 0.10 = 0.02y + -0.07(30)

Reorder the terms:
0.12(-8 + y) + 0.10 = 0.02y + -0.07(30)
(-8 * 0.12 + y * 0.12) + 0.10 = 0.02y + -0.07(30)
(-0.96 + 0.12y) + 0.10 = 0.02y + -0.07(30)

Reorder the terms:
-0.96 + 0.10 + 0.12y = 0.02y + -0.07(30)

Combine like terms: -0.96 + 0.10 = -0.86
-0.86 + 0.12y = 0.02y + -0.07(30)

Multiply -0.07 * 30
-0.86 + 0.12y = 0.02y + -2.1

Reorder the terms:
-0.86 + 0.12y = -2.1 + 0.02y

Solving
-0.86 + 0.12y = -2.1 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-0.86 + 0.12y + -0.02y = -2.1 + 0.02y + -0.02y

Combine like terms: 0.12y + -0.02y = 0.1y
-0.86 + 0.1y = -2.1 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.86 + 0.1y = -2.1 + 0.00
-0.86 + 0.1y = -2.1

Add '0.86' to each side of the equation.
-0.86 + 0.86 + 0.1y = -2.1 + 0.86

Combine like terms: -0.86 + 0.86 = 0.00
0.00 + 0.1y = -2.1 + 0.86
0.1y = -2.1 + 0.86

Combine like terms: -2.1 + 0.86 = -1.24
0.1y = -1.24

Divide each side by '0.1'.
y = -12.4

Simplifying
y = -12.4

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