3(y+3)+5=4(y+1)+5

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Solution for 3(y+3)+5=4(y+1)+5 equation: 


Simplifying
3(y + 3) + 5 = 4(y + 1) + 5

Reorder the terms:
3(3 + y) + 5 = 4(y + 1) + 5
(3 * 3 + y * 3) + 5 = 4(y + 1) + 5
(9 + 3y) + 5 = 4(y + 1) + 5

Reorder the terms:
9 + 5 + 3y = 4(y + 1) + 5

Combine like terms: 9 + 5 = 14
14 + 3y = 4(y + 1) + 5

Reorder the terms:
14 + 3y = 4(1 + y) + 5
14 + 3y = (1 * 4 + y * 4) + 5
14 + 3y = (4 + 4y) + 5

Reorder the terms:
14 + 3y = 4 + 5 + 4y

Combine like terms: 4 + 5 = 9
14 + 3y = 9 + 4y

Solving
14 + 3y = 9 + 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.
14 + 3y + -4y = 9 + 4y + -4y

Combine like terms: 3y + -4y = -1y
14 + -1y = 9 + 4y + -4y

Combine like terms: 4y + -4y = 0
14 + -1y = 9 + 0
14 + -1y = 9

Add '-14' to each side of the equation.
14 + -14 + -1y = 9 + -14

Combine like terms: 14 + -14 = 0
0 + -1y = 9 + -14
-1y = 9 + -14

Combine like terms: 9 + -14 = -5
-1y = -5

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

Simplifying
y = 5

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