4(y+3)=5y+17

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Solution for 4(y+3)=5y+17 equation: 


Simplifying
4(y + 3) = 5y + 17

Reorder the terms:
4(3 + y) = 5y + 17
(3 * 4 + y * 4) = 5y + 17
(12 + 4y) = 5y + 17

Reorder the terms:
12 + 4y = 17 + 5y

Solving
12 + 4y = 17 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
12 + 4y + -5y = 17 + 5y + -5y

Combine like terms: 4y + -5y = -1y
12 + -1y = 17 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + -1y = 17 + 0
12 + -1y = 17

Add '-12' to each side of the equation.
12 + -12 + -1y = 17 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = 17 + -12
-1y = 17 + -12

Combine like terms: 17 + -12 = 5
-1y = 5

Divide each side by '-1'.
y = -5

Simplifying
y = -5

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