6(y+5)+y=4(y+2)+7

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Solution for 6(y+5)+y=4(y+2)+7 equation: 


Simplifying
6(y + 5) + y = 4(y + 2) + 7

Reorder the terms:
6(5 + y) + y = 4(y + 2) + 7
(5 * 6 + y * 6) + y = 4(y + 2) + 7
(30 + 6y) + y = 4(y + 2) + 7

Combine like terms: 6y + y = 7y
30 + 7y = 4(y + 2) + 7

Reorder the terms:
30 + 7y = 4(2 + y) + 7
30 + 7y = (2 * 4 + y * 4) + 7
30 + 7y = (8 + 4y) + 7

Reorder the terms:
30 + 7y = 8 + 7 + 4y

Combine like terms: 8 + 7 = 15
30 + 7y = 15 + 4y

Solving
30 + 7y = 15 + 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.
30 + 7y + -4y = 15 + 4y + -4y

Combine like terms: 7y + -4y = 3y
30 + 3y = 15 + 4y + -4y

Combine like terms: 4y + -4y = 0
30 + 3y = 15 + 0
30 + 3y = 15

Add '-30' to each side of the equation.
30 + -30 + 3y = 15 + -30

Combine like terms: 30 + -30 = 0
0 + 3y = 15 + -30
3y = 15 + -30

Combine like terms: 15 + -30 = -15
3y = -15

Divide each side by '3'.
y = -5

Simplifying
y = -5

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