1.3(6y-9)=2y+13

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Solution for 1.3(6y-9)=2y+13 equation: 


Simplifying
1.3(6y + -9) = 2y + 13

Reorder the terms:
1.3(-9 + 6y) = 2y + 13
(-9 * 1.3 + 6y * 1.3) = 2y + 13
(-11.7 + 7.8y) = 2y + 13

Reorder the terms:
-11.7 + 7.8y = 13 + 2y

Solving
-11.7 + 7.8y = 13 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-11.7 + 7.8y + -2y = 13 + 2y + -2y

Combine like terms: 7.8y + -2y = 5.8y
-11.7 + 5.8y = 13 + 2y + -2y

Combine like terms: 2y + -2y = 0
-11.7 + 5.8y = 13 + 0
-11.7 + 5.8y = 13

Add '11.7' to each side of the equation.
-11.7 + 11.7 + 5.8y = 13 + 11.7

Combine like terms: -11.7 + 11.7 = 0.0
0.0 + 5.8y = 13 + 11.7
5.8y = 13 + 11.7

Combine like terms: 13 + 11.7 = 24.7
5.8y = 24.7

Divide each side by '5.8'.
y = 4.25862069

Simplifying
y = 4.25862069

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