3(y+5)+15=7(y+6)

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Solution for 3(y+5)+15=7(y+6) equation:


Simplifying
3(y + 5) + 15 = 7(y + 6)

Reorder the terms:
3(5 + y) + 15 = 7(y + 6)
(5 * 3 + y * 3) + 15 = 7(y + 6)
(15 + 3y) + 15 = 7(y + 6)

Reorder the terms:
15 + 15 + 3y = 7(y + 6)

Combine like terms: 15 + 15 = 30
30 + 3y = 7(y + 6)

Reorder the terms:
30 + 3y = 7(6 + y)
30 + 3y = (6 * 7 + y * 7)
30 + 3y = (42 + 7y)

Solving
30 + 3y = 42 + 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.
30 + 3y + -7y = 42 + 7y + -7y

Combine like terms: 3y + -7y = -4y
30 + -4y = 42 + 7y + -7y

Combine like terms: 7y + -7y = 0
30 + -4y = 42 + 0
30 + -4y = 42

Add '-30' to each side of the equation.
30 + -30 + -4y = 42 + -30

Combine like terms: 30 + -30 = 0
0 + -4y = 42 + -30
-4y = 42 + -30

Combine like terms: 42 + -30 = 12
-4y = 12

Divide each side by '-4'.
y = -3

Simplifying
y = -3

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