0.2(y+43)-0.04(y-27)=12.08

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Solution for 0.2(y+43)-0.04(y-27)=12.08 equation: 


Simplifying
0.2(y + 43) + -0.04(y + -27) = 12.08

Reorder the terms:
0.2(43 + y) + -0.04(y + -27) = 12.08
(43 * 0.2 + y * 0.2) + -0.04(y + -27) = 12.08
(8.6 + 0.2y) + -0.04(y + -27) = 12.08

Reorder the terms:
8.6 + 0.2y + -0.04(-27 + y) = 12.08
8.6 + 0.2y + (-27 * -0.04 + y * -0.04) = 12.08
8.6 + 0.2y + (1.08 + -0.04y) = 12.08

Reorder the terms:
8.6 + 1.08 + 0.2y + -0.04y = 12.08

Combine like terms: 8.6 + 1.08 = 9.68
9.68 + 0.2y + -0.04y = 12.08

Combine like terms: 0.2y + -0.04y = 0.16y
9.68 + 0.16y = 12.08

Solving
9.68 + 0.16y = 12.08

Solving for variable 'y'.

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

Add '-9.68' to each side of the equation.
9.68 + -9.68 + 0.16y = 12.08 + -9.68

Combine like terms: 9.68 + -9.68 = 0.00
0.00 + 0.16y = 12.08 + -9.68
0.16y = 12.08 + -9.68

Combine like terms: 12.08 + -9.68 = 2.4
0.16y = 2.4

Divide each side by '0.16'.
y = 15

Simplifying
y = 15

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