7y+3(y-9)=6(y+1)-2

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Solution for 7y+3(y-9)=6(y+1)-2 equation:


Simplifying
7y + 3(y + -9) = 6(y + 1) + -2

Reorder the terms:
7y + 3(-9 + y) = 6(y + 1) + -2
7y + (-9 * 3 + y * 3) = 6(y + 1) + -2
7y + (-27 + 3y) = 6(y + 1) + -2

Reorder the terms:
-27 + 7y + 3y = 6(y + 1) + -2

Combine like terms: 7y + 3y = 10y
-27 + 10y = 6(y + 1) + -2

Reorder the terms:
-27 + 10y = 6(1 + y) + -2
-27 + 10y = (1 * 6 + y * 6) + -2
-27 + 10y = (6 + 6y) + -2

Reorder the terms:
-27 + 10y = 6 + -2 + 6y

Combine like terms: 6 + -2 = 4
-27 + 10y = 4 + 6y

Solving
-27 + 10y = 4 + 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.
-27 + 10y + -6y = 4 + 6y + -6y

Combine like terms: 10y + -6y = 4y
-27 + 4y = 4 + 6y + -6y

Combine like terms: 6y + -6y = 0
-27 + 4y = 4 + 0
-27 + 4y = 4

Add '27' to each side of the equation.
-27 + 27 + 4y = 4 + 27

Combine like terms: -27 + 27 = 0
0 + 4y = 4 + 27
4y = 4 + 27

Combine like terms: 4 + 27 = 31
4y = 31

Divide each side by '4'.
y = 7.75

Simplifying
y = 7.75

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