7(y-3)+6(y+1)=63

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Solution for 7(y-3)+6(y+1)=63 equation:


Simplifying
7(y + -3) + 6(y + 1) = 63

Reorder the terms:
7(-3 + y) + 6(y + 1) = 63
(-3 * 7 + y * 7) + 6(y + 1) = 63
(-21 + 7y) + 6(y + 1) = 63

Reorder the terms:
-21 + 7y + 6(1 + y) = 63
-21 + 7y + (1 * 6 + y * 6) = 63
-21 + 7y + (6 + 6y) = 63

Reorder the terms:
-21 + 6 + 7y + 6y = 63

Combine like terms: -21 + 6 = -15
-15 + 7y + 6y = 63

Combine like terms: 7y + 6y = 13y
-15 + 13y = 63

Solving
-15 + 13y = 63

Solving for variable 'y'.

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

Add '15' to each side of the equation.
-15 + 15 + 13y = 63 + 15

Combine like terms: -15 + 15 = 0
0 + 13y = 63 + 15
13y = 63 + 15

Combine like terms: 63 + 15 = 78
13y = 78

Divide each side by '13'.
y = 6

Simplifying
y = 6

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