7y+8(y-3)=6

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Solution for 7y+8(y-3)=6 equation:


Simplifying
7y + 8(y + -3) = 6

Reorder the terms:
7y + 8(-3 + y) = 6
7y + (-3 * 8 + y * 8) = 6
7y + (-24 + 8y) = 6

Reorder the terms:
-24 + 7y + 8y = 6

Combine like terms: 7y + 8y = 15y
-24 + 15y = 6

Solving
-24 + 15y = 6

Solving for variable 'y'.

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

Add '24' to each side of the equation.
-24 + 24 + 15y = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 15y = 6 + 24
15y = 6 + 24

Combine like terms: 6 + 24 = 30
15y = 30

Divide each side by '15'.
y = 2

Simplifying
y = 2

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