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

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


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

Reorder the terms:
6(7 + y) + y = 4(y + 5) + -5
(7 * 6 + y * 6) + y = 4(y + 5) + -5
(42 + 6y) + y = 4(y + 5) + -5

Combine like terms: 6y + y = 7y
42 + 7y = 4(y + 5) + -5

Reorder the terms:
42 + 7y = 4(5 + y) + -5
42 + 7y = (5 * 4 + y * 4) + -5
42 + 7y = (20 + 4y) + -5

Reorder the terms:
42 + 7y = 20 + -5 + 4y

Combine like terms: 20 + -5 = 15
42 + 7y = 15 + 4y

Solving
42 + 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.
42 + 7y + -4y = 15 + 4y + -4y

Combine like terms: 7y + -4y = 3y
42 + 3y = 15 + 4y + -4y

Combine like terms: 4y + -4y = 0
42 + 3y = 15 + 0
42 + 3y = 15

Add '-42' to each side of the equation.
42 + -42 + 3y = 15 + -42

Combine like terms: 42 + -42 = 0
0 + 3y = 15 + -42
3y = 15 + -42

Combine like terms: 15 + -42 = -27
3y = -27

Divide each side by '3'.
y = -9

Simplifying
y = -9

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