3(y-3)-1=12-(y+2)

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Solution for 3(y-3)-1=12-(y+2) equation: 


Simplifying
3(y + -3) + -1 = 12 + -1(y + 2)

Reorder the terms:
3(-3 + y) + -1 = 12 + -1(y + 2)
(-3 * 3 + y * 3) + -1 = 12 + -1(y + 2)
(-9 + 3y) + -1 = 12 + -1(y + 2)

Reorder the terms:
-9 + -1 + 3y = 12 + -1(y + 2)

Combine like terms: -9 + -1 = -10
-10 + 3y = 12 + -1(y + 2)

Reorder the terms:
-10 + 3y = 12 + -1(2 + y)
-10 + 3y = 12 + (2 * -1 + y * -1)
-10 + 3y = 12 + (-2 + -1y)

Combine like terms: 12 + -2 = 10
-10 + 3y = 10 + -1y

Solving
-10 + 3y = 10 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-10 + 3y + y = 10 + -1y + y

Combine like terms: 3y + y = 4y
-10 + 4y = 10 + -1y + y

Combine like terms: -1y + y = 0
-10 + 4y = 10 + 0
-10 + 4y = 10

Add '10' to each side of the equation.
-10 + 10 + 4y = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 4y = 10 + 10
4y = 10 + 10

Combine like terms: 10 + 10 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5

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