1.3(y+3)=0.3(y-2)+14.5

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Solution for 1.3(y+3)=0.3(y-2)+14.5 equation: 


Simplifying
1.3(y + 3) = 0.3(y + -2) + 14.5

Reorder the terms:
1.3(3 + y) = 0.3(y + -2) + 14.5
(3 * 1.3 + y * 1.3) = 0.3(y + -2) + 14.5
(3.9 + 1.3y) = 0.3(y + -2) + 14.5

Reorder the terms:
3.9 + 1.3y = 0.3(-2 + y) + 14.5
3.9 + 1.3y = (-2 * 0.3 + y * 0.3) + 14.5
3.9 + 1.3y = (-0.6 + 0.3y) + 14.5

Reorder the terms:
3.9 + 1.3y = -0.6 + 14.5 + 0.3y

Combine like terms: -0.6 + 14.5 = 13.9
3.9 + 1.3y = 13.9 + 0.3y

Solving
3.9 + 1.3y = 13.9 + 0.3y

Solving for variable 'y'.

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

Add '-0.3y' to each side of the equation.
3.9 + 1.3y + -0.3y = 13.9 + 0.3y + -0.3y

Combine like terms: 1.3y + -0.3y = 1y
3.9 + 1y = 13.9 + 0.3y + -0.3y

Combine like terms: 0.3y + -0.3y = 0.0
3.9 + 1y = 13.9 + 0.0
3.9 + 1y = 13.9

Add '-3.9' to each side of the equation.
3.9 + -3.9 + 1y = 13.9 + -3.9

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + 1y = 13.9 + -3.9
1y = 13.9 + -3.9

Combine like terms: 13.9 + -3.9 = 10
1y = 10

Divide each side by '1'.
y = 10

Simplifying
y = 10

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