7y+2(y-7)=6(y+1)-3

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Solution for 7y+2(y-7)=6(y+1)-3 equation:


Simplifying
7y + 2(y + -7) = 6(y + 1) + -3

Reorder the terms:
7y + 2(-7 + y) = 6(y + 1) + -3
7y + (-7 * 2 + y * 2) = 6(y + 1) + -3
7y + (-14 + 2y) = 6(y + 1) + -3

Reorder the terms:
-14 + 7y + 2y = 6(y + 1) + -3

Combine like terms: 7y + 2y = 9y
-14 + 9y = 6(y + 1) + -3

Reorder the terms:
-14 + 9y = 6(1 + y) + -3
-14 + 9y = (1 * 6 + y * 6) + -3
-14 + 9y = (6 + 6y) + -3

Reorder the terms:
-14 + 9y = 6 + -3 + 6y

Combine like terms: 6 + -3 = 3
-14 + 9y = 3 + 6y

Solving
-14 + 9y = 3 + 6y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6y' to each side of the equation.
-14 + 9y + -6y = 3 + 6y + -6y

Combine like terms: 9y + -6y = 3y
-14 + 3y = 3 + 6y + -6y

Combine like terms: 6y + -6y = 0
-14 + 3y = 3 + 0
-14 + 3y = 3

Add '14' to each side of the equation.
-14 + 14 + 3y = 3 + 14

Combine like terms: -14 + 14 = 0
0 + 3y = 3 + 14
3y = 3 + 14

Combine like terms: 3 + 14 = 17
3y = 17

Divide each side by '3'.
y = 5.666666667

Simplifying
y = 5.666666667

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