5.2(y+3)=3y+6.8

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Solution for 5.2(y+3)=3y+6.8 equation: 


Simplifying
5.2(y + 3) = 3y + 6.8

Reorder the terms:
5.2(3 + y) = 3y + 6.8
(3 * 5.2 + y * 5.2) = 3y + 6.8
(15.6 + 5.2y) = 3y + 6.8

Reorder the terms:
15.6 + 5.2y = 6.8 + 3y

Solving
15.6 + 5.2y = 6.8 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
15.6 + 5.2y + -3y = 6.8 + 3y + -3y

Combine like terms: 5.2y + -3y = 2.2y
15.6 + 2.2y = 6.8 + 3y + -3y

Combine like terms: 3y + -3y = 0
15.6 + 2.2y = 6.8 + 0
15.6 + 2.2y = 6.8

Add '-15.6' to each side of the equation.
15.6 + -15.6 + 2.2y = 6.8 + -15.6

Combine like terms: 15.6 + -15.6 = 0.0
0.0 + 2.2y = 6.8 + -15.6
2.2y = 6.8 + -15.6

Combine like terms: 6.8 + -15.6 = -8.8
2.2y = -8.8

Divide each side by '2.2'.
y = -4

Simplifying
y = -4

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