-0.9(y-1.5)=0.1(y+9)

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Solution for -0.9(y-1.5)=0.1(y+9) equation: 


Simplifying
-0.9(y + -1.5) = 0.1(y + 9)

Reorder the terms:
-0.9(-1.5 + y) = 0.1(y + 9)
(-1.5 * -0.9 + y * -0.9) = 0.1(y + 9)
(1.35 + -0.9y) = 0.1(y + 9)

Reorder the terms:
1.35 + -0.9y = 0.1(9 + y)
1.35 + -0.9y = (9 * 0.1 + y * 0.1)
1.35 + -0.9y = (0.9 + 0.1y)

Solving
1.35 + -0.9y = 0.9 + 0.1y

Solving for variable 'y'.

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

Add '-0.1y' to each side of the equation.
1.35 + -0.9y + -0.1y = 0.9 + 0.1y + -0.1y

Combine like terms: -0.9y + -0.1y = -1y
1.35 + -1y = 0.9 + 0.1y + -0.1y

Combine like terms: 0.1y + -0.1y = 0.0
1.35 + -1y = 0.9 + 0.0
1.35 + -1y = 0.9

Add '-1.35' to each side of the equation.
1.35 + -1.35 + -1y = 0.9 + -1.35

Combine like terms: 1.35 + -1.35 = 0.00
0.00 + -1y = 0.9 + -1.35
-1y = 0.9 + -1.35

Combine like terms: 0.9 + -1.35 = -0.45
-1y = -0.45

Divide each side by '-1'.
y = 0.45

Simplifying
y = 0.45

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