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

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


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

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

Remove parenthesis around (1 + 3y)
3 + 5y = -6y + 4 + 1 + 3y

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

Combine like terms: 4 + 1 = 5
3 + 5y = 5 + -6y + 3y

Combine like terms: -6y + 3y = -3y
3 + 5y = 5 + -3y

Solving
3 + 5y = 5 + -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.
3 + 5y + 3y = 5 + -3y + 3y

Combine like terms: 5y + 3y = 8y
3 + 8y = 5 + -3y + 3y

Combine like terms: -3y + 3y = 0
3 + 8y = 5 + 0
3 + 8y = 5

Add '-3' to each side of the equation.
3 + -3 + 8y = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 8y = 5 + -3
8y = 5 + -3

Combine like terms: 5 + -3 = 2
8y = 2

Divide each side by '8'.
y = 0.25

Simplifying
y = 0.25

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