.20(y-7)+.06y=.18y-.03(30)

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Solution for .20(y-7)+.06y=.18y-.03(30) equation:


Simplifying
0.20(y + -7) + 0.06y = 0.18y + -0.03(30)

Reorder the terms:
0.20(-7 + y) + 0.06y = 0.18y + -0.03(30)
(-7 * 0.20 + y * 0.20) + 0.06y = 0.18y + -0.03(30)
(-1.4 + 0.20y) + 0.06y = 0.18y + -0.03(30)

Combine like terms: 0.20y + 0.06y = 0.26y
-1.4 + 0.26y = 0.18y + -0.03(30)

Multiply -0.03 * 30
-1.4 + 0.26y = 0.18y + -0.9

Reorder the terms:
-1.4 + 0.26y = -0.9 + 0.18y

Solving
-1.4 + 0.26y = -0.9 + 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.
-1.4 + 0.26y + -0.18y = -0.9 + 0.18y + -0.18y

Combine like terms: 0.26y + -0.18y = 0.08y
-1.4 + 0.08y = -0.9 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-1.4 + 0.08y = -0.9 + 0.00
-1.4 + 0.08y = -0.9

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 0.08y = -0.9 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 0.08y = -0.9 + 1.4
0.08y = -0.9 + 1.4

Combine like terms: -0.9 + 1.4 = 0.5
0.08y = 0.5

Divide each side by '0.08'.
y = 6.25

Simplifying
y = 6.25

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