7(y-3)+9(y+1)=20

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Solution for 7(y-3)+9(y+1)=20 equation:


Simplifying
7(y + -3) + 9(y + 1) = 20

Reorder the terms:
7(-3 + y) + 9(y + 1) = 20
(-3 * 7 + y * 7) + 9(y + 1) = 20
(-21 + 7y) + 9(y + 1) = 20

Reorder the terms:
-21 + 7y + 9(1 + y) = 20
-21 + 7y + (1 * 9 + y * 9) = 20
-21 + 7y + (9 + 9y) = 20

Reorder the terms:
-21 + 9 + 7y + 9y = 20

Combine like terms: -21 + 9 = -12
-12 + 7y + 9y = 20

Combine like terms: 7y + 9y = 16y
-12 + 16y = 20

Solving
-12 + 16y = 20

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + 16y = 20 + 12

Combine like terms: -12 + 12 = 0
0 + 16y = 20 + 12
16y = 20 + 12

Combine like terms: 20 + 12 = 32
16y = 32

Divide each side by '16'.
y = 2

Simplifying
y = 2

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