5y+2(y+4)=64

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Solution for 5y+2(y+4)=64 equation:


Simplifying
5y + 2(y + 4) = 64

Reorder the terms:
5y + 2(4 + y) = 64
5y + (4 * 2 + y * 2) = 64
5y + (8 + 2y) = 64

Reorder the terms:
8 + 5y + 2y = 64

Combine like terms: 5y + 2y = 7y
8 + 7y = 64

Solving
8 + 7y = 64

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 + 7y = 64 + -8

Combine like terms: 8 + -8 = 0
0 + 7y = 64 + -8
7y = 64 + -8

Combine like terms: 64 + -8 = 56
7y = 56

Divide each side by '7'.
y = 8

Simplifying
y = 8

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