5(y+4)+y=3(y+3)+7

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Solution for 5(y+4)+y=3(y+3)+7 equation: 


Simplifying
5(y + 4) + y = 3(y + 3) + 7

Reorder the terms:
5(4 + y) + y = 3(y + 3) + 7
(4 * 5 + y * 5) + y = 3(y + 3) + 7
(20 + 5y) + y = 3(y + 3) + 7

Combine like terms: 5y + y = 6y
20 + 6y = 3(y + 3) + 7

Reorder the terms:
20 + 6y = 3(3 + y) + 7
20 + 6y = (3 * 3 + y * 3) + 7
20 + 6y = (9 + 3y) + 7

Reorder the terms:
20 + 6y = 9 + 7 + 3y

Combine like terms: 9 + 7 = 16
20 + 6y = 16 + 3y

Solving
20 + 6y = 16 + 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.
20 + 6y + -3y = 16 + 3y + -3y

Combine like terms: 6y + -3y = 3y
20 + 3y = 16 + 3y + -3y

Combine like terms: 3y + -3y = 0
20 + 3y = 16 + 0
20 + 3y = 16

Add '-20' to each side of the equation.
20 + -20 + 3y = 16 + -20

Combine like terms: 20 + -20 = 0
0 + 3y = 16 + -20
3y = 16 + -20

Combine like terms: 16 + -20 = -4
3y = -4

Divide each side by '3'.
y = -1.333333333

Simplifying
y = -1.333333333

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