2(y+5)-3(y+2)=4y-1

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Solution for 2(y+5)-3(y+2)=4y-1 equation: 


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

Reorder the terms:
2(5 + y) + -3(y + 2) = 4y + -1
(5 * 2 + y * 2) + -3(y + 2) = 4y + -1
(10 + 2y) + -3(y + 2) = 4y + -1

Reorder the terms:
10 + 2y + -3(2 + y) = 4y + -1
10 + 2y + (2 * -3 + y * -3) = 4y + -1
10 + 2y + (-6 + -3y) = 4y + -1

Reorder the terms:
10 + -6 + 2y + -3y = 4y + -1

Combine like terms: 10 + -6 = 4
4 + 2y + -3y = 4y + -1

Combine like terms: 2y + -3y = -1y
4 + -1y = 4y + -1

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

Solving
4 + -1y = -1 + 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.
4 + -1y + -4y = -1 + 4y + -4y

Combine like terms: -1y + -4y = -5y
4 + -5y = -1 + 4y + -4y

Combine like terms: 4y + -4y = 0
4 + -5y = -1 + 0
4 + -5y = -1

Add '-4' to each side of the equation.
4 + -4 + -5y = -1 + -4

Combine like terms: 4 + -4 = 0
0 + -5y = -1 + -4
-5y = -1 + -4

Combine like terms: -1 + -4 = -5
-5y = -5

Divide each side by '-5'.
y = 1

Simplifying
y = 1

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