2(y+4)=7y+2

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Solution for 2(y+4)=7y+2 equation:


Simplifying
2(y + 4) = 7y + 2

Reorder the terms:
2(4 + y) = 7y + 2
(4 * 2 + y * 2) = 7y + 2
(8 + 2y) = 7y + 2

Reorder the terms:
8 + 2y = 2 + 7y

Solving
8 + 2y = 2 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
8 + 2y + -7y = 2 + 7y + -7y

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

Combine like terms: 7y + -7y = 0
8 + -5y = 2 + 0
8 + -5y = 2

Add '-8' to each side of the equation.
8 + -8 + -5y = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -5y = 2 + -8
-5y = 2 + -8

Combine like terms: 2 + -8 = -6
-5y = -6

Divide each side by '-5'.
y = 1.2

Simplifying
y = 1.2

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