2(3y-3)+2(2y-1)=52

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Solution for 2(3y-3)+2(2y-1)=52 equation:


Simplifying
2(3y + -3) + 2(2y + -1) = 52

Reorder the terms:
2(-3 + 3y) + 2(2y + -1) = 52
(-3 * 2 + 3y * 2) + 2(2y + -1) = 52
(-6 + 6y) + 2(2y + -1) = 52

Reorder the terms:
-6 + 6y + 2(-1 + 2y) = 52
-6 + 6y + (-1 * 2 + 2y * 2) = 52
-6 + 6y + (-2 + 4y) = 52

Reorder the terms:
-6 + -2 + 6y + 4y = 52

Combine like terms: -6 + -2 = -8
-8 + 6y + 4y = 52

Combine like terms: 6y + 4y = 10y
-8 + 10y = 52

Solving
-8 + 10y = 52

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 10y = 52 + 8

Combine like terms: -8 + 8 = 0
0 + 10y = 52 + 8
10y = 52 + 8

Combine like terms: 52 + 8 = 60
10y = 60

Divide each side by '10'.
y = 6

Simplifying
y = 6

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