8y+3(y-5)=4(y+1)-3

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Solution for 8y+3(y-5)=4(y+1)-3 equation: 


Simplifying
8y + 3(y + -5) = 4(y + 1) + -3

Reorder the terms:
8y + 3(-5 + y) = 4(y + 1) + -3
8y + (-5 * 3 + y * 3) = 4(y + 1) + -3
8y + (-15 + 3y) = 4(y + 1) + -3

Reorder the terms:
-15 + 8y + 3y = 4(y + 1) + -3

Combine like terms: 8y + 3y = 11y
-15 + 11y = 4(y + 1) + -3

Reorder the terms:
-15 + 11y = 4(1 + y) + -3
-15 + 11y = (1 * 4 + y * 4) + -3
-15 + 11y = (4 + 4y) + -3

Reorder the terms:
-15 + 11y = 4 + -3 + 4y

Combine like terms: 4 + -3 = 1
-15 + 11y = 1 + 4y

Solving
-15 + 11y = 1 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-15 + 11y + -4y = 1 + 4y + -4y

Combine like terms: 11y + -4y = 7y
-15 + 7y = 1 + 4y + -4y

Combine like terms: 4y + -4y = 0
-15 + 7y = 1 + 0
-15 + 7y = 1

Add '15' to each side of the equation.
-15 + 15 + 7y = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 7y = 1 + 15
7y = 1 + 15

Combine like terms: 1 + 15 = 16
7y = 16

Divide each side by '7'.
y = 2.285714286

Simplifying
y = 2.285714286

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