0.04(y-7)+0.08y=0.16y-0.1

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Solution for 0.04(y-7)+0.08y=0.16y-0.1 equation: 


Simplifying
0.04(y + -7) + 0.08y = 0.16y + -0.1

Reorder the terms:
0.04(-7 + y) + 0.08y = 0.16y + -0.1
(-7 * 0.04 + y * 0.04) + 0.08y = 0.16y + -0.1
(-0.28 + 0.04y) + 0.08y = 0.16y + -0.1

Combine like terms: 0.04y + 0.08y = 0.12y
-0.28 + 0.12y = 0.16y + -0.1

Reorder the terms:
-0.28 + 0.12y = -0.1 + 0.16y

Solving
-0.28 + 0.12y = -0.1 + 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.
-0.28 + 0.12y + -0.16y = -0.1 + 0.16y + -0.16y

Combine like terms: 0.12y + -0.16y = -0.04y
-0.28 + -0.04y = -0.1 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.28 + -0.04y = -0.1 + 0.00
-0.28 + -0.04y = -0.1

Add '0.28' to each side of the equation.
-0.28 + 0.28 + -0.04y = -0.1 + 0.28

Combine like terms: -0.28 + 0.28 = 0.00
0.00 + -0.04y = -0.1 + 0.28
-0.04y = -0.1 + 0.28

Combine like terms: -0.1 + 0.28 = 0.18
-0.04y = 0.18

Divide each side by '-0.04'.
y = -4.5

Simplifying
y = -4.5

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