2(y-7)-(3y+11)=5-(2y-5)

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Solution for 2(y-7)-(3y+11)=5-(2y-5) equation:


Simplifying
2(y + -7) + -1(3y + 11) = 5 + -1(2y + -5)

Reorder the terms:
2(-7 + y) + -1(3y + 11) = 5 + -1(2y + -5)
(-7 * 2 + y * 2) + -1(3y + 11) = 5 + -1(2y + -5)
(-14 + 2y) + -1(3y + 11) = 5 + -1(2y + -5)

Reorder the terms:
-14 + 2y + -1(11 + 3y) = 5 + -1(2y + -5)
-14 + 2y + (11 * -1 + 3y * -1) = 5 + -1(2y + -5)
-14 + 2y + (-11 + -3y) = 5 + -1(2y + -5)

Reorder the terms:
-14 + -11 + 2y + -3y = 5 + -1(2y + -5)

Combine like terms: -14 + -11 = -25
-25 + 2y + -3y = 5 + -1(2y + -5)

Combine like terms: 2y + -3y = -1y
-25 + -1y = 5 + -1(2y + -5)

Reorder the terms:
-25 + -1y = 5 + -1(-5 + 2y)
-25 + -1y = 5 + (-5 * -1 + 2y * -1)
-25 + -1y = 5 + (5 + -2y)

Combine like terms: 5 + 5 = 10
-25 + -1y = 10 + -2y

Solving
-25 + -1y = 10 + -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.
-25 + -1y + 2y = 10 + -2y + 2y

Combine like terms: -1y + 2y = 1y
-25 + 1y = 10 + -2y + 2y

Combine like terms: -2y + 2y = 0
-25 + 1y = 10 + 0
-25 + 1y = 10

Add '25' to each side of the equation.
-25 + 25 + 1y = 10 + 25

Combine like terms: -25 + 25 = 0
0 + 1y = 10 + 25
1y = 10 + 25

Combine like terms: 10 + 25 = 35
1y = 35

Divide each side by '1'.
y = 35

Simplifying
y = 35

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