3=7y+8(y+6)

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Solution for 3=7y+8(y+6) equation:


Simplifying
3 = 7y + 8(y + 6)

Reorder the terms:
3 = 7y + 8(6 + y)
3 = 7y + (6 * 8 + y * 8)
3 = 7y + (48 + 8y)

Reorder the terms:
3 = 48 + 7y + 8y

Combine like terms: 7y + 8y = 15y
3 = 48 + 15y

Solving
3 = 48 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
3 + -15y = 48 + 15y + -15y

Combine like terms: 15y + -15y = 0
3 + -15y = 48 + 0
3 + -15y = 48

Add '-3' to each side of the equation.
3 + -3 + -15y = 48 + -3

Combine like terms: 3 + -3 = 0
0 + -15y = 48 + -3
-15y = 48 + -3

Combine like terms: 48 + -3 = 45
-15y = 45

Divide each side by '-15'.
y = -3

Simplifying
y = -3

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