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

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


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

Reorder the terms:
5y + 2(-6 + y) = 3(y + 2)
5y + (-6 * 2 + y * 2) = 3(y + 2)
5y + (-12 + 2y) = 3(y + 2)

Reorder the terms:
-12 + 5y + 2y = 3(y + 2)

Combine like terms: 5y + 2y = 7y
-12 + 7y = 3(y + 2)

Reorder the terms:
-12 + 7y = 3(2 + y)
-12 + 7y = (2 * 3 + y * 3)
-12 + 7y = (6 + 3y)

Solving
-12 + 7y = 6 + 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.
-12 + 7y + -3y = 6 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-12 + 4y = 6 + 3y + -3y

Combine like terms: 3y + -3y = 0
-12 + 4y = 6 + 0
-12 + 4y = 6

Add '12' to each side of the equation.
-12 + 12 + 4y = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 4y = 6 + 12
4y = 6 + 12

Combine like terms: 6 + 12 = 18
4y = 18

Divide each side by '4'.
y = 4.5

Simplifying
y = 4.5

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