6(y-4)+3(y+2)=45

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Solution for 6(y-4)+3(y+2)=45 equation: 


Simplifying
6(y + -4) + 3(y + 2) = 45

Reorder the terms:
6(-4 + y) + 3(y + 2) = 45
(-4 * 6 + y * 6) + 3(y + 2) = 45
(-24 + 6y) + 3(y + 2) = 45

Reorder the terms:
-24 + 6y + 3(2 + y) = 45
-24 + 6y + (2 * 3 + y * 3) = 45
-24 + 6y + (6 + 3y) = 45

Reorder the terms:
-24 + 6 + 6y + 3y = 45

Combine like terms: -24 + 6 = -18
-18 + 6y + 3y = 45

Combine like terms: 6y + 3y = 9y
-18 + 9y = 45

Solving
-18 + 9y = 45

Solving for variable 'y'.

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

Add '18' to each side of the equation.
-18 + 18 + 9y = 45 + 18

Combine like terms: -18 + 18 = 0
0 + 9y = 45 + 18
9y = 45 + 18

Combine like terms: 45 + 18 = 63
9y = 63

Divide each side by '9'.
y = 7

Simplifying
y = 7

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