6(y-4)+2(y+5)=15

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Solution for 6(y-4)+2(y+5)=15 equation:


Simplifying
6(y + -4) + 2(y + 5) = 15

Reorder the terms:
6(-4 + y) + 2(y + 5) = 15
(-4 * 6 + y * 6) + 2(y + 5) = 15
(-24 + 6y) + 2(y + 5) = 15

Reorder the terms:
-24 + 6y + 2(5 + y) = 15
-24 + 6y + (5 * 2 + y * 2) = 15
-24 + 6y + (10 + 2y) = 15

Reorder the terms:
-24 + 10 + 6y + 2y = 15

Combine like terms: -24 + 10 = -14
-14 + 6y + 2y = 15

Combine like terms: 6y + 2y = 8y
-14 + 8y = 15

Solving
-14 + 8y = 15

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + 8y = 15 + 14

Combine like terms: -14 + 14 = 0
0 + 8y = 15 + 14
8y = 15 + 14

Combine like terms: 15 + 14 = 29
8y = 29

Divide each side by '8'.
y = 3.625

Simplifying
y = 3.625

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