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

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


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

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

Reorder the terms:
-18 + 5y + 3y = 3(y + 2) + -5

Combine like terms: 5y + 3y = 8y
-18 + 8y = 3(y + 2) + -5

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

Reorder the terms:
-18 + 8y = 6 + -5 + 3y

Combine like terms: 6 + -5 = 1
-18 + 8y = 1 + 3y

Solving
-18 + 8y = 1 + 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.
-18 + 8y + -3y = 1 + 3y + -3y

Combine like terms: 8y + -3y = 5y
-18 + 5y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-18 + 5y = 1 + 0
-18 + 5y = 1

Add '18' to each side of the equation.
-18 + 18 + 5y = 1 + 18

Combine like terms: -18 + 18 = 0
0 + 5y = 1 + 18
5y = 1 + 18

Combine like terms: 1 + 18 = 19
5y = 19

Divide each side by '5'.
y = 3.8

Simplifying
y = 3.8

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