0.16(y-7)+0.20y=0.04y-0.05(40)

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Solution for 0.16(y-7)+0.20y=0.04y-0.05(40) equation:


Simplifying
0.16(y + -7) + 0.20y = 0.04y + -0.05(40)

Reorder the terms:
0.16(-7 + y) + 0.20y = 0.04y + -0.05(40)
(-7 * 0.16 + y * 0.16) + 0.20y = 0.04y + -0.05(40)
(-1.12 + 0.16y) + 0.20y = 0.04y + -0.05(40)

Combine like terms: 0.16y + 0.20y = 0.36y
-1.12 + 0.36y = 0.04y + -0.05(40)

Multiply -0.05 * 40
-1.12 + 0.36y = 0.04y + -2

Reorder the terms:
-1.12 + 0.36y = -2 + 0.04y

Solving
-1.12 + 0.36y = -2 + 0.04y

Solving for variable 'y'.

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

Add '-0.04y' to each side of the equation.
-1.12 + 0.36y + -0.04y = -2 + 0.04y + -0.04y

Combine like terms: 0.36y + -0.04y = 0.32y
-1.12 + 0.32y = -2 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-1.12 + 0.32y = -2 + 0.00
-1.12 + 0.32y = -2

Add '1.12' to each side of the equation.
-1.12 + 1.12 + 0.32y = -2 + 1.12

Combine like terms: -1.12 + 1.12 = 0.00
0.00 + 0.32y = -2 + 1.12
0.32y = -2 + 1.12

Combine like terms: -2 + 1.12 = -0.88
0.32y = -0.88

Divide each side by '0.32'.
y = -2.75

Simplifying
y = -2.75

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