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

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


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

Reorder the terms:
3(4 + y) + -2 = y + (y + 5)
(4 * 3 + y * 3) + -2 = y + (y + 5)
(12 + 3y) + -2 = y + (y + 5)

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

Combine like terms: 12 + -2 = 10
10 + 3y = y + (y + 5)

Reorder the terms:
10 + 3y = y + (5 + y)

Remove parenthesis around (5 + y)
10 + 3y = y + 5 + y

Reorder the terms:
10 + 3y = 5 + y + y

Combine like terms: y + y = 2y
10 + 3y = 5 + 2y

Solving
10 + 3y = 5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
10 + 3y + -2y = 5 + 2y + -2y

Combine like terms: 3y + -2y = 1y
10 + 1y = 5 + 2y + -2y

Combine like terms: 2y + -2y = 0
10 + 1y = 5 + 0
10 + 1y = 5

Add '-10' to each side of the equation.
10 + -10 + 1y = 5 + -10

Combine like terms: 10 + -10 = 0
0 + 1y = 5 + -10
1y = 5 + -10

Combine like terms: 5 + -10 = -5
1y = -5

Divide each side by '1'.
y = -5

Simplifying
y = -5

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