4y+2=3(y-5)

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Solution for 4y+2=3(y-5) equation: 


Simplifying
4y + 2 = 3(y + -5)

Reorder the terms:
2 + 4y = 3(y + -5)

Reorder the terms:
2 + 4y = 3(-5 + y)
2 + 4y = (-5 * 3 + y * 3)
2 + 4y = (-15 + 3y)

Solving
2 + 4y = -15 + 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.
2 + 4y + -3y = -15 + 3y + -3y

Combine like terms: 4y + -3y = 1y
2 + 1y = -15 + 3y + -3y

Combine like terms: 3y + -3y = 0
2 + 1y = -15 + 0
2 + 1y = -15

Add '-2' to each side of the equation.
2 + -2 + 1y = -15 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = -15 + -2
1y = -15 + -2

Combine like terms: -15 + -2 = -17
1y = -17

Divide each side by '1'.
y = -17

Simplifying
y = -17

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