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

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


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

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

Combine like terms: 5y + 3y = 8y
-10 + 8y = 4(5y + 1)

Reorder the terms:
-10 + 8y = 4(1 + 5y)
-10 + 8y = (1 * 4 + 5y * 4)
-10 + 8y = (4 + 20y)

Solving
-10 + 8y = 4 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-10 + 8y + -20y = 4 + 20y + -20y

Combine like terms: 8y + -20y = -12y
-10 + -12y = 4 + 20y + -20y

Combine like terms: 20y + -20y = 0
-10 + -12y = 4 + 0
-10 + -12y = 4

Add '10' to each side of the equation.
-10 + 10 + -12y = 4 + 10

Combine like terms: -10 + 10 = 0
0 + -12y = 4 + 10
-12y = 4 + 10

Combine like terms: 4 + 10 = 14
-12y = 14

Divide each side by '-12'.
y = -1.166666667

Simplifying
y = -1.166666667

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