0.06(y-7)+0.02y=0.16y-0.05(20)

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Solution for 0.06(y-7)+0.02y=0.16y-0.05(20) equation: 


Simplifying
0.06(y + -7) + 0.02y = 0.16y + -0.05(20)

Reorder the terms:
0.06(-7 + y) + 0.02y = 0.16y + -0.05(20)
(-7 * 0.06 + y * 0.06) + 0.02y = 0.16y + -0.05(20)
(-0.42 + 0.06y) + 0.02y = 0.16y + -0.05(20)

Combine like terms: 0.06y + 0.02y = 0.08y
-0.42 + 0.08y = 0.16y + -0.05(20)

Multiply -0.05 * 20
-0.42 + 0.08y = 0.16y + -1

Reorder the terms:
-0.42 + 0.08y = -1 + 0.16y

Solving
-0.42 + 0.08y = -1 + 0.16y

Solving for variable 'y'.

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

Add '-0.16y' to each side of the equation.
-0.42 + 0.08y + -0.16y = -1 + 0.16y + -0.16y

Combine like terms: 0.08y + -0.16y = -0.08y
-0.42 + -0.08y = -1 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.42 + -0.08y = -1 + 0.00
-0.42 + -0.08y = -1

Add '0.42' to each side of the equation.
-0.42 + 0.42 + -0.08y = -1 + 0.42

Combine like terms: -0.42 + 0.42 = 0.00
0.00 + -0.08y = -1 + 0.42
-0.08y = -1 + 0.42

Combine like terms: -1 + 0.42 = -0.58
-0.08y = -0.58

Divide each side by '-0.08'.
y = 7.25

Simplifying
y = 7.25

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