0.18(y-5)+0.16y=0.10y-1.5

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Solution for 0.18(y-5)+0.16y=0.10y-1.5 equation: 


Simplifying
0.18(y + -5) + 0.16y = 0.10y + -1.5

Reorder the terms:
0.18(-5 + y) + 0.16y = 0.10y + -1.5
(-5 * 0.18 + y * 0.18) + 0.16y = 0.10y + -1.5
(-0.9 + 0.18y) + 0.16y = 0.10y + -1.5

Combine like terms: 0.18y + 0.16y = 0.34y
-0.9 + 0.34y = 0.10y + -1.5

Reorder the terms:
-0.9 + 0.34y = -1.5 + 0.10y

Solving
-0.9 + 0.34y = -1.5 + 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.
-0.9 + 0.34y + -0.10y = -1.5 + 0.10y + -0.10y

Combine like terms: 0.34y + -0.10y = 0.24y
-0.9 + 0.24y = -1.5 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.9 + 0.24y = -1.5 + 0.00
-0.9 + 0.24y = -1.5

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 0.24y = -1.5 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 0.24y = -1.5 + 0.9
0.24y = -1.5 + 0.9

Combine like terms: -1.5 + 0.9 = -0.6
0.24y = -0.6

Divide each side by '0.24'.
y = -2.5

Simplifying
y = -2.5

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