.10(y-1)+0.02y=0.04y-.7

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Solution for .10(y-1)+0.02y=0.04y-.7 equation: 


Simplifying
0.10(y + -1) + 0.02y = 0.04y + -0.7

Reorder the terms:
0.10(-1 + y) + 0.02y = 0.04y + -0.7
(-1 * 0.10 + y * 0.10) + 0.02y = 0.04y + -0.7
(-0.1 + 0.10y) + 0.02y = 0.04y + -0.7

Combine like terms: 0.10y + 0.02y = 0.12y
-0.1 + 0.12y = 0.04y + -0.7

Reorder the terms:
-0.1 + 0.12y = -0.7 + 0.04y

Solving
-0.1 + 0.12y = -0.7 + 0.04y

Solving for variable 'y'.

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

Add '-0.04y' to each side of the equation.
-0.1 + 0.12y + -0.04y = -0.7 + 0.04y + -0.04y

Combine like terms: 0.12y + -0.04y = 0.08y
-0.1 + 0.08y = -0.7 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-0.1 + 0.08y = -0.7 + 0.00
-0.1 + 0.08y = -0.7

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 0.08y = -0.7 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 0.08y = -0.7 + 0.1
0.08y = -0.7 + 0.1

Combine like terms: -0.7 + 0.1 = -0.6
0.08y = -0.6

Divide each side by '0.08'.
y = -7.5

Simplifying
y = -7.5

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