2(2y+7)=46

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Solution for 2(2y+7)=46 equation:


Simplifying
2(2y + 7) = 46

Reorder the terms:
2(7 + 2y) = 46
(7 * 2 + 2y * 2) = 46
(14 + 4y) = 46

Solving
14 + 4y = 46

Solving for variable 'y'.

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

Add '-14' to each side of the equation.
14 + -14 + 4y = 46 + -14

Combine like terms: 14 + -14 = 0
0 + 4y = 46 + -14
4y = 46 + -14

Combine like terms: 46 + -14 = 32
4y = 32

Divide each side by '4'.
y = 8

Simplifying
y = 8

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