27-(3y+2)=2(y-1)+4y

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Solution for 27-(3y+2)=2(y-1)+4y equation:


Simplifying
27 + -1(3y + 2) = 2(y + -1) + 4y

Reorder the terms:
27 + -1(2 + 3y) = 2(y + -1) + 4y
27 + (2 * -1 + 3y * -1) = 2(y + -1) + 4y
27 + (-2 + -3y) = 2(y + -1) + 4y

Combine like terms: 27 + -2 = 25
25 + -3y = 2(y + -1) + 4y

Reorder the terms:
25 + -3y = 2(-1 + y) + 4y
25 + -3y = (-1 * 2 + y * 2) + 4y
25 + -3y = (-2 + 2y) + 4y

Combine like terms: 2y + 4y = 6y
25 + -3y = -2 + 6y

Solving
25 + -3y = -2 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
25 + -3y + -6y = -2 + 6y + -6y

Combine like terms: -3y + -6y = -9y
25 + -9y = -2 + 6y + -6y

Combine like terms: 6y + -6y = 0
25 + -9y = -2 + 0
25 + -9y = -2

Add '-25' to each side of the equation.
25 + -25 + -9y = -2 + -25

Combine like terms: 25 + -25 = 0
0 + -9y = -2 + -25
-9y = -2 + -25

Combine like terms: -2 + -25 = -27
-9y = -27

Divide each side by '-9'.
y = 3

Simplifying
y = 3

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