.04(y-7)+0.02y=.18y-0.05(20)

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Solution for .04(y-7)+0.02y=.18y-0.05(20) equation: 


Simplifying
0.04(y + -7) + 0.02y = 0.18y + -0.05(20)

Reorder the terms:
0.04(-7 + y) + 0.02y = 0.18y + -0.05(20)
(-7 * 0.04 + y * 0.04) + 0.02y = 0.18y + -0.05(20)
(-0.28 + 0.04y) + 0.02y = 0.18y + -0.05(20)

Combine like terms: 0.04y + 0.02y = 0.06y
-0.28 + 0.06y = 0.18y + -0.05(20)

Multiply -0.05 * 20
-0.28 + 0.06y = 0.18y + -1

Reorder the terms:
-0.28 + 0.06y = -1 + 0.18y

Solving
-0.28 + 0.06y = -1 + 0.18y

Solving for variable 'y'.

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

Add '-0.18y' to each side of the equation.
-0.28 + 0.06y + -0.18y = -1 + 0.18y + -0.18y

Combine like terms: 0.06y + -0.18y = -0.12y
-0.28 + -0.12y = -1 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.28 + -0.12y = -1 + 0.00
-0.28 + -0.12y = -1

Add '0.28' to each side of the equation.
-0.28 + 0.28 + -0.12y = -1 + 0.28

Combine like terms: -0.28 + 0.28 = 0.00
0.00 + -0.12y = -1 + 0.28
-0.12y = -1 + 0.28

Combine like terms: -1 + 0.28 = -0.72
-0.12y = -0.72

Divide each side by '-0.12'.
y = 6

Simplifying
y = 6

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