4(y-6)+3(y+2)=15

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Solution for 4(y-6)+3(y+2)=15 equation: 


Simplifying
4(y + -6) + 3(y + 2) = 15

Reorder the terms:
4(-6 + y) + 3(y + 2) = 15
(-6 * 4 + y * 4) + 3(y + 2) = 15
(-24 + 4y) + 3(y + 2) = 15

Reorder the terms:
-24 + 4y + 3(2 + y) = 15
-24 + 4y + (2 * 3 + y * 3) = 15
-24 + 4y + (6 + 3y) = 15

Reorder the terms:
-24 + 6 + 4y + 3y = 15

Combine like terms: -24 + 6 = -18
-18 + 4y + 3y = 15

Combine like terms: 4y + 3y = 7y
-18 + 7y = 15

Solving
-18 + 7y = 15

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 + 7y = 15 + 18

Combine like terms: -18 + 18 = 0
0 + 7y = 15 + 18
7y = 15 + 18

Combine like terms: 15 + 18 = 33
7y = 33

Divide each side by '7'.
y = 4.714285714

Simplifying
y = 4.714285714

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