(4)5y-10=(5)3y+10

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Solution for (4)5y-10=(5)3y+10 equation:


Simplifying
(4) * 5y + -10 = (5) * 3y + 10

Multiply 4 * 5
20y + -10 = (5) * 3y + 10

Reorder the terms:
-10 + 20y = (5) * 3y + 10

Multiply 5 * 3
-10 + 20y = 15y + 10

Reorder the terms:
-10 + 20y = 10 + 15y

Solving
-10 + 20y = 10 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-10 + 20y + -15y = 10 + 15y + -15y

Combine like terms: 20y + -15y = 5y
-10 + 5y = 10 + 15y + -15y

Combine like terms: 15y + -15y = 0
-10 + 5y = 10 + 0
-10 + 5y = 10

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

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

Combine like terms: 10 + 10 = 20
5y = 20

Divide each side by '5'.
y = 4

Simplifying
y = 4

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