5y+3(y-5)=6(y+1)-4

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Solution for 5y+3(y-5)=6(y+1)-4 equation:


Simplifying
5y + 3(y + -5) = 6(y + 1) + -4

Reorder the terms:
5y + 3(-5 + y) = 6(y + 1) + -4
5y + (-5 * 3 + y * 3) = 6(y + 1) + -4
5y + (-15 + 3y) = 6(y + 1) + -4

Reorder the terms:
-15 + 5y + 3y = 6(y + 1) + -4

Combine like terms: 5y + 3y = 8y
-15 + 8y = 6(y + 1) + -4

Reorder the terms:
-15 + 8y = 6(1 + y) + -4
-15 + 8y = (1 * 6 + y * 6) + -4
-15 + 8y = (6 + 6y) + -4

Reorder the terms:
-15 + 8y = 6 + -4 + 6y

Combine like terms: 6 + -4 = 2
-15 + 8y = 2 + 6y

Solving
-15 + 8y = 2 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-15 + 8y + -6y = 2 + 6y + -6y

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

Combine like terms: 6y + -6y = 0
-15 + 2y = 2 + 0
-15 + 2y = 2

Add '15' to each side of the equation.
-15 + 15 + 2y = 2 + 15

Combine like terms: -15 + 15 = 0
0 + 2y = 2 + 15
2y = 2 + 15

Combine like terms: 2 + 15 = 17
2y = 17

Divide each side by '2'.
y = 8.5

Simplifying
y = 8.5

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