.2(y+1)-.9(y+3)=8

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Solution for .2(y+1)-.9(y+3)=8 equation: 


Simplifying
0.2(y + 1) + -0.9(y + 3) = 8

Reorder the terms:
0.2(1 + y) + -0.9(y + 3) = 8
(1 * 0.2 + y * 0.2) + -0.9(y + 3) = 8
(0.2 + 0.2y) + -0.9(y + 3) = 8

Reorder the terms:
0.2 + 0.2y + -0.9(3 + y) = 8
0.2 + 0.2y + (3 * -0.9 + y * -0.9) = 8
0.2 + 0.2y + (-2.7 + -0.9y) = 8

Reorder the terms:
0.2 + -2.7 + 0.2y + -0.9y = 8

Combine like terms: 0.2 + -2.7 = -2.5
-2.5 + 0.2y + -0.9y = 8

Combine like terms: 0.2y + -0.9y = -0.7y
-2.5 + -0.7y = 8

Solving
-2.5 + -0.7y = 8

Solving for variable 'y'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + -0.7y = 8 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -0.7y = 8 + 2.5
-0.7y = 8 + 2.5

Combine like terms: 8 + 2.5 = 10.5
-0.7y = 10.5

Divide each side by '-0.7'.
y = -15

Simplifying
y = -15

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