6(y+3)+2(4-y)=5y

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Solution for 6(y+3)+2(4-y)=5y equation: 


Simplifying
6(y + 3) + 2(4 + -1y) = 5y

Reorder the terms:
6(3 + y) + 2(4 + -1y) = 5y
(3 * 6 + y * 6) + 2(4 + -1y) = 5y
(18 + 6y) + 2(4 + -1y) = 5y
18 + 6y + (4 * 2 + -1y * 2) = 5y
18 + 6y + (8 + -2y) = 5y

Reorder the terms:
18 + 8 + 6y + -2y = 5y

Combine like terms: 18 + 8 = 26
26 + 6y + -2y = 5y

Combine like terms: 6y + -2y = 4y
26 + 4y = 5y

Solving
26 + 4y = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
26 + 4y + -5y = 5y + -5y

Combine like terms: 4y + -5y = -1y
26 + -1y = 5y + -5y

Combine like terms: 5y + -5y = 0
26 + -1y = 0

Add '-26' to each side of the equation.
26 + -26 + -1y = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1y = 0 + -26
-1y = 0 + -26

Combine like terms: 0 + -26 = -26
-1y = -26

Divide each side by '-1'.
y = 26

Simplifying
y = 26

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