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

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


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

Reorder the terms:
3 + 5y = -6 + 4(1 + 3y)
3 + 5y = -6 + (1 * 4 + 3y * 4)
3 + 5y = -6 + (4 + 12y)

Combine like terms: -6 + 4 = -2
3 + 5y = -2 + 12y

Solving
3 + 5y = -2 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
3 + 5y + -12y = -2 + 12y + -12y

Combine like terms: 5y + -12y = -7y
3 + -7y = -2 + 12y + -12y

Combine like terms: 12y + -12y = 0
3 + -7y = -2 + 0
3 + -7y = -2

Add '-3' to each side of the equation.
3 + -3 + -7y = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -7y = -2 + -3
-7y = -2 + -3

Combine like terms: -2 + -3 = -5
-7y = -5

Divide each side by '-7'.
y = 0.7142857143

Simplifying
y = 0.7142857143

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