5(y-1)+7(y+1)=83

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Solution for 5(y-1)+7(y+1)=83 equation:


Simplifying
5(y + -1) + 7(y + 1) = 83

Reorder the terms:
5(-1 + y) + 7(y + 1) = 83
(-1 * 5 + y * 5) + 7(y + 1) = 83
(-5 + 5y) + 7(y + 1) = 83

Reorder the terms:
-5 + 5y + 7(1 + y) = 83
-5 + 5y + (1 * 7 + y * 7) = 83
-5 + 5y + (7 + 7y) = 83

Reorder the terms:
-5 + 7 + 5y + 7y = 83

Combine like terms: -5 + 7 = 2
2 + 5y + 7y = 83

Combine like terms: 5y + 7y = 12y
2 + 12y = 83

Solving
2 + 12y = 83

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 12y = 83 + -2

Combine like terms: 2 + -2 = 0
0 + 12y = 83 + -2
12y = 83 + -2

Combine like terms: 83 + -2 = 81
12y = 81

Divide each side by '12'.
y = 6.75

Simplifying
y = 6.75

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