y(2)=3(y+5)-8

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Solution for y(2)=3(y+5)-8 equation: 


Simplifying
y(2) = 3(y + 5) + -8

Reorder the terms for easier multiplication:
2y = 3(y + 5) + -8

Reorder the terms:
2y = 3(5 + y) + -8
2y = (5 * 3 + y * 3) + -8
2y = (15 + 3y) + -8

Reorder the terms:
2y = 15 + -8 + 3y

Combine like terms: 15 + -8 = 7
2y = 7 + 3y

Solving
2y = 7 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
2y + -3y = 7 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-1y = 7 + 3y + -3y

Combine like terms: 3y + -3y = 0
-1y = 7 + 0
-1y = 7

Divide each side by '-1'.
y = -7

Simplifying
y = -7

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