0.16(y-6)+0.10y=0.18y-1.5

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Solution for 0.16(y-6)+0.10y=0.18y-1.5 equation: 


Simplifying
0.16(y + -6) + 0.10y = 0.18y + -1.5

Reorder the terms:
0.16(-6 + y) + 0.10y = 0.18y + -1.5
(-6 * 0.16 + y * 0.16) + 0.10y = 0.18y + -1.5
(-0.96 + 0.16y) + 0.10y = 0.18y + -1.5

Combine like terms: 0.16y + 0.10y = 0.26y
-0.96 + 0.26y = 0.18y + -1.5

Reorder the terms:
-0.96 + 0.26y = -1.5 + 0.18y

Solving
-0.96 + 0.26y = -1.5 + 0.18y

Solving for variable 'y'.

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

Add '-0.18y' to each side of the equation.
-0.96 + 0.26y + -0.18y = -1.5 + 0.18y + -0.18y

Combine like terms: 0.26y + -0.18y = 0.08y
-0.96 + 0.08y = -1.5 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.96 + 0.08y = -1.5 + 0.00
-0.96 + 0.08y = -1.5

Add '0.96' to each side of the equation.
-0.96 + 0.96 + 0.08y = -1.5 + 0.96

Combine like terms: -0.96 + 0.96 = 0.00
0.00 + 0.08y = -1.5 + 0.96
0.08y = -1.5 + 0.96

Combine like terms: -1.5 + 0.96 = -0.54
0.08y = -0.54

Divide each side by '0.08'.
y = -6.75

Simplifying
y = -6.75

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