.05(3-y)-0.8(y+9)=20-(y+1)-0.6(2y-7)

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Solution for .05(3-y)-0.8(y+9)=20-(y+1)-0.6(2y-7) equation: 


Simplifying
0.05(3 + -1y) + -0.8(y + 9) = 20 + -1(y + 1) + -0.6(2y + -7)
(3 * 0.05 + -1y * 0.05) + -0.8(y + 9) = 20 + -1(y + 1) + -0.6(2y + -7)
(0.15 + -0.05y) + -0.8(y + 9) = 20 + -1(y + 1) + -0.6(2y + -7)

Reorder the terms:
0.15 + -0.05y + -0.8(9 + y) = 20 + -1(y + 1) + -0.6(2y + -7)
0.15 + -0.05y + (9 * -0.8 + y * -0.8) = 20 + -1(y + 1) + -0.6(2y + -7)
0.15 + -0.05y + (-7.2 + -0.8y) = 20 + -1(y + 1) + -0.6(2y + -7)

Reorder the terms:
0.15 + -7.2 + -0.05y + -0.8y = 20 + -1(y + 1) + -0.6(2y + -7)

Combine like terms: 0.15 + -7.2 = -7.05
-7.05 + -0.05y + -0.8y = 20 + -1(y + 1) + -0.6(2y + -7)

Combine like terms: -0.05y + -0.8y = -0.85y
-7.05 + -0.85y = 20 + -1(y + 1) + -0.6(2y + -7)

Reorder the terms:
-7.05 + -0.85y = 20 + -1(1 + y) + -0.6(2y + -7)
-7.05 + -0.85y = 20 + (1 * -1 + y * -1) + -0.6(2y + -7)
-7.05 + -0.85y = 20 + (-1 + -1y) + -0.6(2y + -7)

Reorder the terms:
-7.05 + -0.85y = 20 + -1 + -1y + -0.6(-7 + 2y)
-7.05 + -0.85y = 20 + -1 + -1y + (-7 * -0.6 + 2y * -0.6)
-7.05 + -0.85y = 20 + -1 + -1y + (4.2 + -1.2y)

Reorder the terms:
-7.05 + -0.85y = 20 + -1 + 4.2 + -1y + -1.2y

Combine like terms: 20 + -1 = 19
-7.05 + -0.85y = 19 + 4.2 + -1y + -1.2y

Combine like terms: 19 + 4.2 = 23.2
-7.05 + -0.85y = 23.2 + -1y + -1.2y

Combine like terms: -1y + -1.2y = -2.2y
-7.05 + -0.85y = 23.2 + -2.2y

Solving
-7.05 + -0.85y = 23.2 + -2.2y

Solving for variable 'y'.

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

Add '2.2y' to each side of the equation.
-7.05 + -0.85y + 2.2y = 23.2 + -2.2y + 2.2y

Combine like terms: -0.85y + 2.2y = 1.35y
-7.05 + 1.35y = 23.2 + -2.2y + 2.2y

Combine like terms: -2.2y + 2.2y = 0.0
-7.05 + 1.35y = 23.2 + 0.0
-7.05 + 1.35y = 23.2

Add '7.05' to each side of the equation.
-7.05 + 7.05 + 1.35y = 23.2 + 7.05

Combine like terms: -7.05 + 7.05 = 0.00
0.00 + 1.35y = 23.2 + 7.05
1.35y = 23.2 + 7.05

Combine like terms: 23.2 + 7.05 = 30.25
1.35y = 30.25

Divide each side by '1.35'.
y = 22.40740741

Simplifying
y = 22.40740741

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