3(-.9y+.5)=-3.5y+1.3

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Solution for 3(-.9y+.5)=-3.5y+1.3 equation: 


Simplifying
3(-0.9y + 0.5) = -3.5y + 1.3

Reorder the terms:
3(0.5 + -0.9y) = -3.5y + 1.3
(0.5 * 3 + -0.9y * 3) = -3.5y + 1.3
(1.5 + -2.7y) = -3.5y + 1.3

Reorder the terms:
1.5 + -2.7y = 1.3 + -3.5y

Solving
1.5 + -2.7y = 1.3 + -3.5y

Solving for variable 'y'.

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

Add '3.5y' to each side of the equation.
1.5 + -2.7y + 3.5y = 1.3 + -3.5y + 3.5y

Combine like terms: -2.7y + 3.5y = 0.8y
1.5 + 0.8y = 1.3 + -3.5y + 3.5y

Combine like terms: -3.5y + 3.5y = 0.0
1.5 + 0.8y = 1.3 + 0.0
1.5 + 0.8y = 1.3

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.8y = 1.3 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.8y = 1.3 + -1.5
0.8y = 1.3 + -1.5

Combine like terms: 1.3 + -1.5 = -0.2
0.8y = -0.2

Divide each side by '0.8'.
y = -0.25

Simplifying
y = -0.25

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