(T-7+3y)-(2-y+1)=

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Solution for (T-7+3y)-(2-y+1)= equation:


Simplifying
(T + -7 + 3y) + -1(2 + -1y + 1) = 0

Reorder the terms:
(-7 + T + 3y) + -1(2 + -1y + 1) = 0

Remove parenthesis around (-7 + T + 3y)
-7 + T + 3y + -1(2 + -1y + 1) = 0

Reorder the terms:
-7 + T + 3y + -1(2 + 1 + -1y) = 0

Combine like terms: 2 + 1 = 3
-7 + T + 3y + -1(3 + -1y) = 0
-7 + T + 3y + (3 * -1 + -1y * -1) = 0
-7 + T + 3y + (-3 + 1y) = 0

Reorder the terms:
-7 + -3 + T + 3y + 1y = 0

Combine like terms: -7 + -3 = -10
-10 + T + 3y + 1y = 0

Combine like terms: 3y + 1y = 4y
-10 + T + 4y = 0

Solving
-10 + T + 4y = 0

Solving for variable 'T'.

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

Add '10' to each side of the equation.
-10 + T + 10 + 4y = 0 + 10

Reorder the terms:
-10 + 10 + T + 4y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + T + 4y = 0 + 10
T + 4y = 0 + 10

Combine like terms: 0 + 10 = 10
T + 4y = 10

Add '-4y' to each side of the equation.
T + 4y + -4y = 10 + -4y

Combine like terms: 4y + -4y = 0
T + 0 = 10 + -4y
T = 10 + -4y

Simplifying
T = 10 + -4y

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