.16(y-6)+.02y=.08y-.7

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Solution for .16(y-6)+.02y=.08y-.7 equation: 


Simplifying
0.16(y + -6) + 0.02y = 0.08y + -0.7

Reorder the terms:
0.16(-6 + y) + 0.02y = 0.08y + -0.7
(-6 * 0.16 + y * 0.16) + 0.02y = 0.08y + -0.7
(-0.96 + 0.16y) + 0.02y = 0.08y + -0.7

Combine like terms: 0.16y + 0.02y = 0.18y
-0.96 + 0.18y = 0.08y + -0.7

Reorder the terms:
-0.96 + 0.18y = -0.7 + 0.08y

Solving
-0.96 + 0.18y = -0.7 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-0.96 + 0.18y + -0.08y = -0.7 + 0.08y + -0.08y

Combine like terms: 0.18y + -0.08y = 0.1y
-0.96 + 0.1y = -0.7 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-0.96 + 0.1y = -0.7 + 0.00
-0.96 + 0.1y = -0.7

Add '0.96' to each side of the equation.
-0.96 + 0.96 + 0.1y = -0.7 + 0.96

Combine like terms: -0.96 + 0.96 = 0.00
0.00 + 0.1y = -0.7 + 0.96
0.1y = -0.7 + 0.96

Combine like terms: -0.7 + 0.96 = 0.26
0.1y = 0.26

Divide each side by '0.1'.
y = 2.6

Simplifying
y = 2.6

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