2(4y+5)=6y+30

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Solution for 2(4y+5)=6y+30 equation: 


Simplifying
2(4y + 5) = 6y + 30

Reorder the terms:
2(5 + 4y) = 6y + 30
(5 * 2 + 4y * 2) = 6y + 30
(10 + 8y) = 6y + 30

Reorder the terms:
10 + 8y = 30 + 6y

Solving
10 + 8y = 30 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
10 + 8y + -6y = 30 + 6y + -6y

Combine like terms: 8y + -6y = 2y
10 + 2y = 30 + 6y + -6y

Combine like terms: 6y + -6y = 0
10 + 2y = 30 + 0
10 + 2y = 30

Add '-10' to each side of the equation.
10 + -10 + 2y = 30 + -10

Combine like terms: 10 + -10 = 0
0 + 2y = 30 + -10
2y = 30 + -10

Combine like terms: 30 + -10 = 20
2y = 20

Divide each side by '2'.
y = 10

Simplifying
y = 10

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