5(y-4)+4(y+3)=28

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Solution for 5(y-4)+4(y+3)=28 equation:


Simplifying
5(y + -4) + 4(y + 3) = 28

Reorder the terms:
5(-4 + y) + 4(y + 3) = 28
(-4 * 5 + y * 5) + 4(y + 3) = 28
(-20 + 5y) + 4(y + 3) = 28

Reorder the terms:
-20 + 5y + 4(3 + y) = 28
-20 + 5y + (3 * 4 + y * 4) = 28
-20 + 5y + (12 + 4y) = 28

Reorder the terms:
-20 + 12 + 5y + 4y = 28

Combine like terms: -20 + 12 = -8
-8 + 5y + 4y = 28

Combine like terms: 5y + 4y = 9y
-8 + 9y = 28

Solving
-8 + 9y = 28

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 9y = 28 + 8

Combine like terms: -8 + 8 = 0
0 + 9y = 28 + 8
9y = 28 + 8

Combine like terms: 28 + 8 = 36
9y = 36

Divide each side by '9'.
y = 4

Simplifying
y = 4

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