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

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


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

Reorder the terms:
3 + 5(4 + y) = (4)(y + -2) + 3
3 + (4 * 5 + y * 5) = (4)(y + -2) + 3
3 + (20 + 5y) = (4)(y + -2) + 3

Combine like terms: 3 + 20 = 23
23 + 5y = (4)(y + -2) + 3

Reorder the terms:
23 + 5y = 4(-2 + y) + 3
23 + 5y = (-2 * 4 + y * 4) + 3
23 + 5y = (-8 + 4y) + 3

Reorder the terms:
23 + 5y = -8 + 3 + 4y

Combine like terms: -8 + 3 = -5
23 + 5y = -5 + 4y

Solving
23 + 5y = -5 + 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.
23 + 5y + -4y = -5 + 4y + -4y

Combine like terms: 5y + -4y = 1y
23 + 1y = -5 + 4y + -4y

Combine like terms: 4y + -4y = 0
23 + 1y = -5 + 0
23 + 1y = -5

Add '-23' to each side of the equation.
23 + -23 + 1y = -5 + -23

Combine like terms: 23 + -23 = 0
0 + 1y = -5 + -23
1y = -5 + -23

Combine like terms: -5 + -23 = -28
1y = -28

Divide each side by '1'.
y = -28

Simplifying
y = -28

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