5-2(3-y)=2(2y+5)+1

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Solution for 5-2(3-y)=2(2y+5)+1 equation: 


Simplifying
5 + -2(3 + -1y) = 2(2y + 5) + 1
5 + (3 * -2 + -1y * -2) = 2(2y + 5) + 1
5 + (-6 + 2y) = 2(2y + 5) + 1

Combine like terms: 5 + -6 = -1
-1 + 2y = 2(2y + 5) + 1

Reorder the terms:
-1 + 2y = 2(5 + 2y) + 1
-1 + 2y = (5 * 2 + 2y * 2) + 1
-1 + 2y = (10 + 4y) + 1

Reorder the terms:
-1 + 2y = 10 + 1 + 4y

Combine like terms: 10 + 1 = 11
-1 + 2y = 11 + 4y

Solving
-1 + 2y = 11 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-1 + 2y + -4y = 11 + 4y + -4y

Combine like terms: 2y + -4y = -2y
-1 + -2y = 11 + 4y + -4y

Combine like terms: 4y + -4y = 0
-1 + -2y = 11 + 0
-1 + -2y = 11

Add '1' to each side of the equation.
-1 + 1 + -2y = 11 + 1

Combine like terms: -1 + 1 = 0
0 + -2y = 11 + 1
-2y = 11 + 1

Combine like terms: 11 + 1 = 12
-2y = 12

Divide each side by '-2'.
y = -6

Simplifying
y = -6

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