2y+6(y+3)=32

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Solution for 2y+6(y+3)=32 equation:


Simplifying
2y + 6(y + 3) = 32

Reorder the terms:
2y + 6(3 + y) = 32
2y + (3 * 6 + y * 6) = 32
2y + (18 + 6y) = 32

Reorder the terms:
18 + 2y + 6y = 32

Combine like terms: 2y + 6y = 8y
18 + 8y = 32

Solving
18 + 8y = 32

Solving for variable 'y'.

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

Add '-18' to each side of the equation.
18 + -18 + 8y = 32 + -18

Combine like terms: 18 + -18 = 0
0 + 8y = 32 + -18
8y = 32 + -18

Combine like terms: 32 + -18 = 14
8y = 14

Divide each side by '8'.
y = 1.75

Simplifying
y = 1.75

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