5y+4-6-y=-3(2y+1)-4(5y-2)

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Solution for 5y+4-6-y=-3(2y+1)-4(5y-2) equation:


Simplifying
5y + 4 + -6 + -1y = -3(2y + 1) + -4(5y + -2)

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

Combine like terms: 4 + -6 = -2
-2 + 5y + -1y = -3(2y + 1) + -4(5y + -2)

Combine like terms: 5y + -1y = 4y
-2 + 4y = -3(2y + 1) + -4(5y + -2)

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

Reorder the terms:
-2 + 4y = -3 + -6y + -4(-2 + 5y)
-2 + 4y = -3 + -6y + (-2 * -4 + 5y * -4)
-2 + 4y = -3 + -6y + (8 + -20y)

Reorder the terms:
-2 + 4y = -3 + 8 + -6y + -20y

Combine like terms: -3 + 8 = 5
-2 + 4y = 5 + -6y + -20y

Combine like terms: -6y + -20y = -26y
-2 + 4y = 5 + -26y

Solving
-2 + 4y = 5 + -26y

Solving for variable 'y'.

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

Add '26y' to each side of the equation.
-2 + 4y + 26y = 5 + -26y + 26y

Combine like terms: 4y + 26y = 30y
-2 + 30y = 5 + -26y + 26y

Combine like terms: -26y + 26y = 0
-2 + 30y = 5 + 0
-2 + 30y = 5

Add '2' to each side of the equation.
-2 + 2 + 30y = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 30y = 5 + 2
30y = 5 + 2

Combine like terms: 5 + 2 = 7
30y = 7

Divide each side by '30'.
y = 0.2333333333

Simplifying
y = 0.2333333333

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