.16(y-7)+.10y=.06y-.03(30)

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Solution for .16(y-7)+.10y=.06y-.03(30) equation:


Simplifying
0.16(y + -7) + 0.10y = 0.06y + -0.03(30)

Reorder the terms:
0.16(-7 + y) + 0.10y = 0.06y + -0.03(30)
(-7 * 0.16 + y * 0.16) + 0.10y = 0.06y + -0.03(30)
(-1.12 + 0.16y) + 0.10y = 0.06y + -0.03(30)

Combine like terms: 0.16y + 0.10y = 0.26y
-1.12 + 0.26y = 0.06y + -0.03(30)

Multiply -0.03 * 30
-1.12 + 0.26y = 0.06y + -0.9

Reorder the terms:
-1.12 + 0.26y = -0.9 + 0.06y

Solving
-1.12 + 0.26y = -0.9 + 0.06y

Solving for variable 'y'.

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

Add '-0.06y' to each side of the equation.
-1.12 + 0.26y + -0.06y = -0.9 + 0.06y + -0.06y

Combine like terms: 0.26y + -0.06y = 0.2y
-1.12 + 0.2y = -0.9 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-1.12 + 0.2y = -0.9 + 0.00
-1.12 + 0.2y = -0.9

Add '1.12' to each side of the equation.
-1.12 + 1.12 + 0.2y = -0.9 + 1.12

Combine like terms: -1.12 + 1.12 = 0.00
0.00 + 0.2y = -0.9 + 1.12
0.2y = -0.9 + 1.12

Combine like terms: -0.9 + 1.12 = 0.22
0.2y = 0.22

Divide each side by '0.2'.
y = 1.1

Simplifying
y = 1.1

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