6(y-3)+3(y+5)=51

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Solution for 6(y-3)+3(y+5)=51 equation: 


Simplifying
6(y + -3) + 3(y + 5) = 51

Reorder the terms:
6(-3 + y) + 3(y + 5) = 51
(-3 * 6 + y * 6) + 3(y + 5) = 51
(-18 + 6y) + 3(y + 5) = 51

Reorder the terms:
-18 + 6y + 3(5 + y) = 51
-18 + 6y + (5 * 3 + y * 3) = 51
-18 + 6y + (15 + 3y) = 51

Reorder the terms:
-18 + 15 + 6y + 3y = 51

Combine like terms: -18 + 15 = -3
-3 + 6y + 3y = 51

Combine like terms: 6y + 3y = 9y
-3 + 9y = 51

Solving
-3 + 9y = 51

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 + 9y = 51 + 3

Combine like terms: -3 + 3 = 0
0 + 9y = 51 + 3
9y = 51 + 3

Combine like terms: 51 + 3 = 54
9y = 54

Divide each side by '9'.
y = 6

Simplifying
y = 6

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