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

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


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

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

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

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

Combine like terms: -10 + -3 = -13
-13 + 2y + -2y = 2(2y + -1) + -3

Combine like terms: 2y + -2y = 0
-13 + 0 = 2(2y + -1) + -3
-13 = 2(2y + -1) + -3

Reorder the terms:
-13 = 2(-1 + 2y) + -3
-13 = (-1 * 2 + 2y * 2) + -3
-13 = (-2 + 4y) + -3

Reorder the terms:
-13 = -2 + -3 + 4y

Combine like terms: -2 + -3 = -5
-13 = -5 + 4y

Solving
-13 = -5 + 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.
-13 + -4y = -5 + 4y + -4y

Combine like terms: 4y + -4y = 0
-13 + -4y = -5 + 0
-13 + -4y = -5

Add '13' to each side of the equation.
-13 + 13 + -4y = -5 + 13

Combine like terms: -13 + 13 = 0
0 + -4y = -5 + 13
-4y = -5 + 13

Combine like terms: -5 + 13 = 8
-4y = 8

Divide each side by '-4'.
y = -2

Simplifying
y = -2

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