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

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


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

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

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

Solving
-3 + 5y = 5 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-3 + 5y + -10y = 5 + 10y + -10y

Combine like terms: 5y + -10y = -5y
-3 + -5y = 5 + 10y + -10y

Combine like terms: 10y + -10y = 0
-3 + -5y = 5 + 0
-3 + -5y = 5

Add '3' to each side of the equation.
-3 + 3 + -5y = 5 + 3

Combine like terms: -3 + 3 = 0
0 + -5y = 5 + 3
-5y = 5 + 3

Combine like terms: 5 + 3 = 8
-5y = 8

Divide each side by '-5'.
y = -1.6

Simplifying
y = -1.6

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