0.14(y-4)+0.12y=0.02y-0.05(40)

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Solution for 0.14(y-4)+0.12y=0.02y-0.05(40) equation: 


Simplifying
0.14(y + -4) + 0.12y = 0.02y + -0.05(40)

Reorder the terms:
0.14(-4 + y) + 0.12y = 0.02y + -0.05(40)
(-4 * 0.14 + y * 0.14) + 0.12y = 0.02y + -0.05(40)
(-0.56 + 0.14y) + 0.12y = 0.02y + -0.05(40)

Combine like terms: 0.14y + 0.12y = 0.26y
-0.56 + 0.26y = 0.02y + -0.05(40)

Multiply -0.05 * 40
-0.56 + 0.26y = 0.02y + -2

Reorder the terms:
-0.56 + 0.26y = -2 + 0.02y

Solving
-0.56 + 0.26y = -2 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-0.56 + 0.26y + -0.02y = -2 + 0.02y + -0.02y

Combine like terms: 0.26y + -0.02y = 0.24y
-0.56 + 0.24y = -2 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.56 + 0.24y = -2 + 0.00
-0.56 + 0.24y = -2

Add '0.56' to each side of the equation.
-0.56 + 0.56 + 0.24y = -2 + 0.56

Combine like terms: -0.56 + 0.56 = 0.00
0.00 + 0.24y = -2 + 0.56
0.24y = -2 + 0.56

Combine like terms: -2 + 0.56 = -1.44
0.24y = -1.44

Divide each side by '0.24'.
y = -6

Simplifying
y = -6

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