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

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


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

Reorder the terms:
4(-5 + y) + 3y + 3 = 3(y + 1)
(-5 * 4 + y * 4) + 3y + 3 = 3(y + 1)
(-20 + 4y) + 3y + 3 = 3(y + 1)

Reorder the terms:
-20 + 3 + 4y + 3y = 3(y + 1)

Combine like terms: -20 + 3 = -17
-17 + 4y + 3y = 3(y + 1)

Combine like terms: 4y + 3y = 7y
-17 + 7y = 3(y + 1)

Reorder the terms:
-17 + 7y = 3(1 + y)
-17 + 7y = (1 * 3 + y * 3)
-17 + 7y = (3 + 3y)

Solving
-17 + 7y = 3 + 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.
-17 + 7y + -3y = 3 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-17 + 4y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
-17 + 4y = 3 + 0
-17 + 4y = 3

Add '17' to each side of the equation.
-17 + 17 + 4y = 3 + 17

Combine like terms: -17 + 17 = 0
0 + 4y = 3 + 17
4y = 3 + 17

Combine like terms: 3 + 17 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5

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