3(y-6)+5(y+3)=37

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Solution for 3(y-6)+5(y+3)=37 equation:


Simplifying
3(y + -6) + 5(y + 3) = 37

Reorder the terms:
3(-6 + y) + 5(y + 3) = 37
(-6 * 3 + y * 3) + 5(y + 3) = 37
(-18 + 3y) + 5(y + 3) = 37

Reorder the terms:
-18 + 3y + 5(3 + y) = 37
-18 + 3y + (3 * 5 + y * 5) = 37
-18 + 3y + (15 + 5y) = 37

Reorder the terms:
-18 + 15 + 3y + 5y = 37

Combine like terms: -18 + 15 = -3
-3 + 3y + 5y = 37

Combine like terms: 3y + 5y = 8y
-3 + 8y = 37

Solving
-3 + 8y = 37

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + 8y = 37 + 3

Combine like terms: -3 + 3 = 0
0 + 8y = 37 + 3
8y = 37 + 3

Combine like terms: 37 + 3 = 40
8y = 40

Divide each side by '8'.
y = 5

Simplifying
y = 5

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