5(2y-1)-2(2y-3)=7

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Solution for 5(2y-1)-2(2y-3)=7 equation:


Simplifying
5(2y + -1) + -2(2y + -3) = 7

Reorder the terms:
5(-1 + 2y) + -2(2y + -3) = 7
(-1 * 5 + 2y * 5) + -2(2y + -3) = 7
(-5 + 10y) + -2(2y + -3) = 7

Reorder the terms:
-5 + 10y + -2(-3 + 2y) = 7
-5 + 10y + (-3 * -2 + 2y * -2) = 7
-5 + 10y + (6 + -4y) = 7

Reorder the terms:
-5 + 6 + 10y + -4y = 7

Combine like terms: -5 + 6 = 1
1 + 10y + -4y = 7

Combine like terms: 10y + -4y = 6y
1 + 6y = 7

Solving
1 + 6y = 7

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + 6y = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 6y = 7 + -1
6y = 7 + -1

Combine like terms: 7 + -1 = 6
6y = 6

Divide each side by '6'.
y = 1

Simplifying
y = 1

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