0.08(y-7)+0.18y=0.10y-0.4

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Solution for 0.08(y-7)+0.18y=0.10y-0.4 equation: 


Simplifying
0.08(y + -7) + 0.18y = 0.10y + -0.4

Reorder the terms:
0.08(-7 + y) + 0.18y = 0.10y + -0.4
(-7 * 0.08 + y * 0.08) + 0.18y = 0.10y + -0.4
(-0.56 + 0.08y) + 0.18y = 0.10y + -0.4

Combine like terms: 0.08y + 0.18y = 0.26y
-0.56 + 0.26y = 0.10y + -0.4

Reorder the terms:
-0.56 + 0.26y = -0.4 + 0.10y

Solving
-0.56 + 0.26y = -0.4 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
-0.56 + 0.26y + -0.10y = -0.4 + 0.10y + -0.10y

Combine like terms: 0.26y + -0.10y = 0.16y
-0.56 + 0.16y = -0.4 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.56 + 0.16y = -0.4 + 0.00
-0.56 + 0.16y = -0.4

Add '0.56' to each side of the equation.
-0.56 + 0.56 + 0.16y = -0.4 + 0.56

Combine like terms: -0.56 + 0.56 = 0.00
0.00 + 0.16y = -0.4 + 0.56
0.16y = -0.4 + 0.56

Combine like terms: -0.4 + 0.56 = 0.16
0.16y = 0.16

Divide each side by '0.16'.
y = 1

Simplifying
y = 1

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