3(y+3)5=2y+6

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Solution for 3(y+3)5=2y+6 equation:


Simplifying
3(y + 3) * 5 = 2y + 6

Reorder the terms:
3(3 + y) * 5 = 2y + 6

Reorder the terms for easier multiplication:
3 * 5(3 + y) = 2y + 6

Multiply 3 * 5
15(3 + y) = 2y + 6
(3 * 15 + y * 15) = 2y + 6
(45 + 15y) = 2y + 6

Reorder the terms:
45 + 15y = 6 + 2y

Solving
45 + 15y = 6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
45 + 15y + -2y = 6 + 2y + -2y

Combine like terms: 15y + -2y = 13y
45 + 13y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
45 + 13y = 6 + 0
45 + 13y = 6

Add '-45' to each side of the equation.
45 + -45 + 13y = 6 + -45

Combine like terms: 45 + -45 = 0
0 + 13y = 6 + -45
13y = 6 + -45

Combine like terms: 6 + -45 = -39
13y = -39

Divide each side by '13'.
y = -3

Simplifying
y = -3

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