.5(y+5)-.7(y+1)=6

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Solution for .5(y+5)-.7(y+1)=6 equation: 


Simplifying
0.5(y + 5) + -0.7(y + 1) = 6

Reorder the terms:
0.5(5 + y) + -0.7(y + 1) = 6
(5 * 0.5 + y * 0.5) + -0.7(y + 1) = 6
(2.5 + 0.5y) + -0.7(y + 1) = 6

Reorder the terms:
2.5 + 0.5y + -0.7(1 + y) = 6
2.5 + 0.5y + (1 * -0.7 + y * -0.7) = 6
2.5 + 0.5y + (-0.7 + -0.7y) = 6

Reorder the terms:
2.5 + -0.7 + 0.5y + -0.7y = 6

Combine like terms: 2.5 + -0.7 = 1.8
1.8 + 0.5y + -0.7y = 6

Combine like terms: 0.5y + -0.7y = -0.2y
1.8 + -0.2y = 6

Solving
1.8 + -0.2y = 6

Solving for variable 'y'.

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

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.2y = 6 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.2y = 6 + -1.8
-0.2y = 6 + -1.8

Combine like terms: 6 + -1.8 = 4.2
-0.2y = 4.2

Divide each side by '-0.2'.
y = -21

Simplifying
y = -21

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