2-7(y-1)=3(y-2)-5

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Solution for 2-7(y-1)=3(y-2)-5 equation: 


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

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

Combine like terms: 2 + 7 = 9
9 + -7y = 3(y + -2) + -5

Reorder the terms:
9 + -7y = 3(-2 + y) + -5
9 + -7y = (-2 * 3 + y * 3) + -5
9 + -7y = (-6 + 3y) + -5

Reorder the terms:
9 + -7y = -6 + -5 + 3y

Combine like terms: -6 + -5 = -11
9 + -7y = -11 + 3y

Solving
9 + -7y = -11 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
9 + -7y + -3y = -11 + 3y + -3y

Combine like terms: -7y + -3y = -10y
9 + -10y = -11 + 3y + -3y

Combine like terms: 3y + -3y = 0
9 + -10y = -11 + 0
9 + -10y = -11

Add '-9' to each side of the equation.
9 + -9 + -10y = -11 + -9

Combine like terms: 9 + -9 = 0
0 + -10y = -11 + -9
-10y = -11 + -9

Combine like terms: -11 + -9 = -20
-10y = -20

Divide each side by '-10'.
y = 2

Simplifying
y = 2

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