5y+3(T-shirt)=(y+2)-3

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


Simplifying
5y + 3(T + -1shirt) = (y + 2) + -3
5y + (T * 3 + -1hirst * 3) = (y + 2) + -3
5y + (3T + -3hirst) = (y + 2) + -3

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

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

Remove parenthesis around (2 + y)
3T + -3hirst + 5y = 2 + y + -3

Reorder the terms:
3T + -3hirst + 5y = 2 + -3 + y

Combine like terms: 2 + -3 = -1
3T + -3hirst + 5y = -1 + y

Solving
3T + -3hirst + 5y = -1 + y

Solving for variable 'T'.

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

Add '3hirst' to each side of the equation.
3T + -3hirst + 3hirst + 5y = -1 + 3hirst + y

Combine like terms: -3hirst + 3hirst = 0
3T + 0 + 5y = -1 + 3hirst + y
3T + 5y = -1 + 3hirst + y

Add '-5y' to each side of the equation.
3T + 5y + -5y = -1 + 3hirst + y + -5y

Combine like terms: 5y + -5y = 0
3T + 0 = -1 + 3hirst + y + -5y
3T = -1 + 3hirst + y + -5y

Combine like terms: y + -5y = -4y
3T = -1 + 3hirst + -4y

Divide each side by '3'.
T = -0.3333333333 + hirst + -1.333333333y

Simplifying
T = -0.3333333333 + hirst + -1.333333333y

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