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

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


Simplifying
2(5 + -2y) + -3(1 + -1y) = y + 1
(5 * 2 + -2y * 2) + -3(1 + -1y) = y + 1
(10 + -4y) + -3(1 + -1y) = y + 1
10 + -4y + (1 * -3 + -1y * -3) = y + 1
10 + -4y + (-3 + 3y) = y + 1

Reorder the terms:
10 + -3 + -4y + 3y = y + 1

Combine like terms: 10 + -3 = 7
7 + -4y + 3y = y + 1

Combine like terms: -4y + 3y = -1y
7 + -1y = y + 1

Reorder the terms:
7 + -1y = 1 + y

Solving
7 + -1y = 1 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
7 + -1y + -1y = 1 + y + -1y

Combine like terms: -1y + -1y = -2y
7 + -2y = 1 + y + -1y

Combine like terms: y + -1y = 0
7 + -2y = 1 + 0
7 + -2y = 1

Add '-7' to each side of the equation.
7 + -7 + -2y = 1 + -7

Combine like terms: 7 + -7 = 0
0 + -2y = 1 + -7
-2y = 1 + -7

Combine like terms: 1 + -7 = -6
-2y = -6

Divide each side by '-2'.
y = 3

Simplifying
y = 3

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