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

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


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

Reorder the terms:
4(-3 + y) + -5 = 2y + 3
(-3 * 4 + y * 4) + -5 = 2y + 3
(-12 + 4y) + -5 = 2y + 3

Reorder the terms:
-12 + -5 + 4y = 2y + 3

Combine like terms: -12 + -5 = -17
-17 + 4y = 2y + 3

Reorder the terms:
-17 + 4y = 3 + 2y

Solving
-17 + 4y = 3 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-17 + 4y + -2y = 3 + 2y + -2y

Combine like terms: 4y + -2y = 2y
-17 + 2y = 3 + 2y + -2y

Combine like terms: 2y + -2y = 0
-17 + 2y = 3 + 0
-17 + 2y = 3

Add '17' to each side of the equation.
-17 + 17 + 2y = 3 + 17

Combine like terms: -17 + 17 = 0
0 + 2y = 3 + 17
2y = 3 + 17

Combine like terms: 3 + 17 = 20
2y = 20

Divide each side by '2'.
y = 10

Simplifying
y = 10

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