2(y-5)=6y+7

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Solution for 2(y-5)=6y+7 equation:


Simplifying
2(y + -5) = 6y + 7

Reorder the terms:
2(-5 + y) = 6y + 7
(-5 * 2 + y * 2) = 6y + 7
(-10 + 2y) = 6y + 7

Reorder the terms:
-10 + 2y = 7 + 6y

Solving
-10 + 2y = 7 + 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 + 2y + -6y = 7 + 6y + -6y

Combine like terms: 2y + -6y = -4y
-10 + -4y = 7 + 6y + -6y

Combine like terms: 6y + -6y = 0
-10 + -4y = 7 + 0
-10 + -4y = 7

Add '10' to each side of the equation.
-10 + 10 + -4y = 7 + 10

Combine like terms: -10 + 10 = 0
0 + -4y = 7 + 10
-4y = 7 + 10

Combine like terms: 7 + 10 = 17
-4y = 17

Divide each side by '-4'.
y = -4.25

Simplifying
y = -4.25

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