5y+11=3(y+7)-4

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Solution for 5y+11=3(y+7)-4 equation: 


Simplifying
5y + 11 = 3(y + 7) + -4

Reorder the terms:
11 + 5y = 3(y + 7) + -4

Reorder the terms:
11 + 5y = 3(7 + y) + -4
11 + 5y = (7 * 3 + y * 3) + -4
11 + 5y = (21 + 3y) + -4

Reorder the terms:
11 + 5y = 21 + -4 + 3y

Combine like terms: 21 + -4 = 17
11 + 5y = 17 + 3y

Solving
11 + 5y = 17 + 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.
11 + 5y + -3y = 17 + 3y + -3y

Combine like terms: 5y + -3y = 2y
11 + 2y = 17 + 3y + -3y

Combine like terms: 3y + -3y = 0
11 + 2y = 17 + 0
11 + 2y = 17

Add '-11' to each side of the equation.
11 + -11 + 2y = 17 + -11

Combine like terms: 11 + -11 = 0
0 + 2y = 17 + -11
2y = 17 + -11

Combine like terms: 17 + -11 = 6
2y = 6

Divide each side by '2'.
y = 3

Simplifying
y = 3

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