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

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


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

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

Reorder the terms:
-18 + 5y + 3y = 4(y + 2) + -5

Combine like terms: 5y + 3y = 8y
-18 + 8y = 4(y + 2) + -5

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

Reorder the terms:
-18 + 8y = 8 + -5 + 4y

Combine like terms: 8 + -5 = 3
-18 + 8y = 3 + 4y

Solving
-18 + 8y = 3 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-18 + 8y + -4y = 3 + 4y + -4y

Combine like terms: 8y + -4y = 4y
-18 + 4y = 3 + 4y + -4y

Combine like terms: 4y + -4y = 0
-18 + 4y = 3 + 0
-18 + 4y = 3

Add '18' to each side of the equation.
-18 + 18 + 4y = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 4y = 3 + 18
4y = 3 + 18

Combine like terms: 3 + 18 = 21
4y = 21

Divide each side by '4'.
y = 5.25

Simplifying
y = 5.25

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