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

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


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

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

Reorder the terms:
-4 + 10y = 3(3 + 2y) + 3
-4 + 10y = (3 * 3 + 2y * 3) + 3
-4 + 10y = (9 + 6y) + 3

Reorder the terms:
-4 + 10y = 9 + 3 + 6y

Combine like terms: 9 + 3 = 12
-4 + 10y = 12 + 6y

Solving
-4 + 10y = 12 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-4 + 10y + -6y = 12 + 6y + -6y

Combine like terms: 10y + -6y = 4y
-4 + 4y = 12 + 6y + -6y

Combine like terms: 6y + -6y = 0
-4 + 4y = 12 + 0
-4 + 4y = 12

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

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

Combine like terms: 12 + 4 = 16
4y = 16

Divide each side by '4'.
y = 4

Simplifying
y = 4

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