.18(y-2)+.14y=.20y-.9

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Solution for .18(y-2)+.14y=.20y-.9 equation:


Simplifying
0.18(y + -2) + 0.14y = 0.20y + -0.9

Reorder the terms:
0.18(-2 + y) + 0.14y = 0.20y + -0.9
(-2 * 0.18 + y * 0.18) + 0.14y = 0.20y + -0.9
(-0.36 + 0.18y) + 0.14y = 0.20y + -0.9

Combine like terms: 0.18y + 0.14y = 0.32y
-0.36 + 0.32y = 0.20y + -0.9

Reorder the terms:
-0.36 + 0.32y = -0.9 + 0.20y

Solving
-0.36 + 0.32y = -0.9 + 0.20y

Solving for variable 'y'.

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

Add '-0.20y' to each side of the equation.
-0.36 + 0.32y + -0.20y = -0.9 + 0.20y + -0.20y

Combine like terms: 0.32y + -0.20y = 0.12y
-0.36 + 0.12y = -0.9 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.36 + 0.12y = -0.9 + 0.00
-0.36 + 0.12y = -0.9

Add '0.36' to each side of the equation.
-0.36 + 0.36 + 0.12y = -0.9 + 0.36

Combine like terms: -0.36 + 0.36 = 0.00
0.00 + 0.12y = -0.9 + 0.36
0.12y = -0.9 + 0.36

Combine like terms: -0.9 + 0.36 = -0.54
0.12y = -0.54

Divide each side by '0.12'.
y = -4.5

Simplifying
y = -4.5

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