0.10(y-9)+0.14y=0.16y-0.7

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Solution for 0.10(y-9)+0.14y=0.16y-0.7 equation: 


Simplifying
0.10(y + -9) + 0.14y = 0.16y + -0.7

Reorder the terms:
0.10(-9 + y) + 0.14y = 0.16y + -0.7
(-9 * 0.10 + y * 0.10) + 0.14y = 0.16y + -0.7
(-0.9 + 0.10y) + 0.14y = 0.16y + -0.7

Combine like terms: 0.10y + 0.14y = 0.24y
-0.9 + 0.24y = 0.16y + -0.7

Reorder the terms:
-0.9 + 0.24y = -0.7 + 0.16y

Solving
-0.9 + 0.24y = -0.7 + 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.
-0.9 + 0.24y + -0.16y = -0.7 + 0.16y + -0.16y

Combine like terms: 0.24y + -0.16y = 0.08y
-0.9 + 0.08y = -0.7 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.9 + 0.08y = -0.7 + 0.00
-0.9 + 0.08y = -0.7

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 0.08y = -0.7 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 0.08y = -0.7 + 0.9
0.08y = -0.7 + 0.9

Combine like terms: -0.7 + 0.9 = 0.2
0.08y = 0.2

Divide each side by '0.08'.
y = 2.5

Simplifying
y = 2.5

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