3y+7=14(6y+4)

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Solution for 3y+7=14(6y+4) equation:


Simplifying
3y + 7 = 14(6y + 4)

Reorder the terms:
7 + 3y = 14(6y + 4)

Reorder the terms:
7 + 3y = 14(4 + 6y)
7 + 3y = (4 * 14 + 6y * 14)
7 + 3y = (56 + 84y)

Solving
7 + 3y = 56 + 84y

Solving for variable 'y'.

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

Add '-84y' to each side of the equation.
7 + 3y + -84y = 56 + 84y + -84y

Combine like terms: 3y + -84y = -81y
7 + -81y = 56 + 84y + -84y

Combine like terms: 84y + -84y = 0
7 + -81y = 56 + 0
7 + -81y = 56

Add '-7' to each side of the equation.
7 + -7 + -81y = 56 + -7

Combine like terms: 7 + -7 = 0
0 + -81y = 56 + -7
-81y = 56 + -7

Combine like terms: 56 + -7 = 49
-81y = 49

Divide each side by '-81'.
y = -0.6049382716

Simplifying
y = -0.6049382716

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