1.3(y-0.5)=0.3(y+17)

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Solution for 1.3(y-0.5)=0.3(y+17) equation: 


Simplifying
1.3(y + -0.5) = 0.3(y + 17)

Reorder the terms:
1.3(-0.5 + y) = 0.3(y + 17)
(-0.5 * 1.3 + y * 1.3) = 0.3(y + 17)
(-0.65 + 1.3y) = 0.3(y + 17)

Reorder the terms:
-0.65 + 1.3y = 0.3(17 + y)
-0.65 + 1.3y = (17 * 0.3 + y * 0.3)
-0.65 + 1.3y = (5.1 + 0.3y)

Solving
-0.65 + 1.3y = 5.1 + 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.
-0.65 + 1.3y + -0.3y = 5.1 + 0.3y + -0.3y

Combine like terms: 1.3y + -0.3y = 1y
-0.65 + 1y = 5.1 + 0.3y + -0.3y

Combine like terms: 0.3y + -0.3y = 0.0
-0.65 + 1y = 5.1 + 0.0
-0.65 + 1y = 5.1

Add '0.65' to each side of the equation.
-0.65 + 0.65 + 1y = 5.1 + 0.65

Combine like terms: -0.65 + 0.65 = 0.00
0.00 + 1y = 5.1 + 0.65
1y = 5.1 + 0.65

Combine like terms: 5.1 + 0.65 = 5.75
1y = 5.75

Divide each side by '1'.
y = 5.75

Simplifying
y = 5.75

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