8(y-5)+3y=3(y+5)+9

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Solution for 8(y-5)+3y=3(y+5)+9 equation:


Simplifying
8(y + -5) + 3y = 3(y + 5) + 9

Reorder the terms:
8(-5 + y) + 3y = 3(y + 5) + 9
(-5 * 8 + y * 8) + 3y = 3(y + 5) + 9
(-40 + 8y) + 3y = 3(y + 5) + 9

Combine like terms: 8y + 3y = 11y
-40 + 11y = 3(y + 5) + 9

Reorder the terms:
-40 + 11y = 3(5 + y) + 9
-40 + 11y = (5 * 3 + y * 3) + 9
-40 + 11y = (15 + 3y) + 9

Reorder the terms:
-40 + 11y = 15 + 9 + 3y

Combine like terms: 15 + 9 = 24
-40 + 11y = 24 + 3y

Solving
-40 + 11y = 24 + 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.
-40 + 11y + -3y = 24 + 3y + -3y

Combine like terms: 11y + -3y = 8y
-40 + 8y = 24 + 3y + -3y

Combine like terms: 3y + -3y = 0
-40 + 8y = 24 + 0
-40 + 8y = 24

Add '40' to each side of the equation.
-40 + 40 + 8y = 24 + 40

Combine like terms: -40 + 40 = 0
0 + 8y = 24 + 40
8y = 24 + 40

Combine like terms: 24 + 40 = 64
8y = 64

Divide each side by '8'.
y = 8

Simplifying
y = 8

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