0.10(y-7)+0.16y=0.02y-2.8

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Solution for 0.10(y-7)+0.16y=0.02y-2.8 equation: 


Simplifying
0.10(y + -7) + 0.16y = 0.02y + -2.8

Reorder the terms:
0.10(-7 + y) + 0.16y = 0.02y + -2.8
(-7 * 0.10 + y * 0.10) + 0.16y = 0.02y + -2.8
(-0.7 + 0.10y) + 0.16y = 0.02y + -2.8

Combine like terms: 0.10y + 0.16y = 0.26y
-0.7 + 0.26y = 0.02y + -2.8

Reorder the terms:
-0.7 + 0.26y = -2.8 + 0.02y

Solving
-0.7 + 0.26y = -2.8 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-0.7 + 0.26y + -0.02y = -2.8 + 0.02y + -0.02y

Combine like terms: 0.26y + -0.02y = 0.24y
-0.7 + 0.24y = -2.8 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.7 + 0.24y = -2.8 + 0.00
-0.7 + 0.24y = -2.8

Add '0.7' to each side of the equation.
-0.7 + 0.7 + 0.24y = -2.8 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + 0.24y = -2.8 + 0.7
0.24y = -2.8 + 0.7

Combine like terms: -2.8 + 0.7 = -2.1
0.24y = -2.1

Divide each side by '0.24'.
y = -8.75

Simplifying
y = -8.75

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