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

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


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

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

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

Combine like terms: 6y + 3y = 9y
-15 + 9y = 4(y + 1) + -3

Reorder the terms:
-15 + 9y = 4(1 + y) + -3
-15 + 9y = (1 * 4 + y * 4) + -3
-15 + 9y = (4 + 4y) + -3

Reorder the terms:
-15 + 9y = 4 + -3 + 4y

Combine like terms: 4 + -3 = 1
-15 + 9y = 1 + 4y

Solving
-15 + 9y = 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 + 9y + -4y = 1 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-15 + 5y = 1 + 4y + -4y

Combine like terms: 4y + -4y = 0
-15 + 5y = 1 + 0
-15 + 5y = 1

Add '15' to each side of the equation.
-15 + 15 + 5y = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 5y = 1 + 15
5y = 1 + 15

Combine like terms: 1 + 15 = 16
5y = 16

Divide each side by '5'.
y = 3.2

Simplifying
y = 3.2

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