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

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


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

Reorder the terms:
-3(3 + 2y) + -1 = -4(y + 5) + 2y
(3 * -3 + 2y * -3) + -1 = -4(y + 5) + 2y
(-9 + -6y) + -1 = -4(y + 5) + 2y

Reorder the terms:
-9 + -1 + -6y = -4(y + 5) + 2y

Combine like terms: -9 + -1 = -10
-10 + -6y = -4(y + 5) + 2y

Reorder the terms:
-10 + -6y = -4(5 + y) + 2y
-10 + -6y = (5 * -4 + y * -4) + 2y
-10 + -6y = (-20 + -4y) + 2y

Combine like terms: -4y + 2y = -2y
-10 + -6y = -20 + -2y

Solving
-10 + -6y = -20 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-10 + -6y + 2y = -20 + -2y + 2y

Combine like terms: -6y + 2y = -4y
-10 + -4y = -20 + -2y + 2y

Combine like terms: -2y + 2y = 0
-10 + -4y = -20 + 0
-10 + -4y = -20

Add '10' to each side of the equation.
-10 + 10 + -4y = -20 + 10

Combine like terms: -10 + 10 = 0
0 + -4y = -20 + 10
-4y = -20 + 10

Combine like terms: -20 + 10 = -10
-4y = -10

Divide each side by '-4'.
y = 2.5

Simplifying
y = 2.5

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