.40(y+10)-.60(y+2)=2

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Solution for .40(y+10)-.60(y+2)=2 equation: 


Simplifying
0.40(y + 10) + -0.60(y + 2) = 2

Reorder the terms:
0.40(10 + y) + -0.60(y + 2) = 2
(10 * 0.40 + y * 0.40) + -0.60(y + 2) = 2
(4 + 0.40y) + -0.60(y + 2) = 2

Reorder the terms:
4 + 0.40y + -0.60(2 + y) = 2
4 + 0.40y + (2 * -0.60 + y * -0.60) = 2
4 + 0.40y + (-1.2 + -0.60y) = 2

Reorder the terms:
4 + -1.2 + 0.40y + -0.60y = 2

Combine like terms: 4 + -1.2 = 2.8
2.8 + 0.40y + -0.60y = 2

Combine like terms: 0.40y + -0.60y = -0.2y
2.8 + -0.2y = 2

Solving
2.8 + -0.2y = 2

Solving for variable 'y'.

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

Add '-2.8' to each side of the equation.
2.8 + -2.8 + -0.2y = 2 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -0.2y = 2 + -2.8
-0.2y = 2 + -2.8

Combine like terms: 2 + -2.8 = -0.8
-0.2y = -0.8

Divide each side by '-0.2'.
y = 4

Simplifying
y = 4

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