3(y+7)=2(y+a)

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Solution for 3(y+7)=2(y+a) equation:


Simplifying
3(y + 7) = 2(y + a)

Reorder the terms:
3(7 + y) = 2(y + a)
(7 * 3 + y * 3) = 2(y + a)
(21 + 3y) = 2(y + a)

Reorder the terms:
21 + 3y = 2(a + y)
21 + 3y = (a * 2 + y * 2)
21 + 3y = (2a + 2y)

Solving
21 + 3y = 2a + 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.
21 + 3y + -2y = 2a + 2y + -2y

Combine like terms: 3y + -2y = 1y
21 + 1y = 2a + 2y + -2y

Combine like terms: 2y + -2y = 0
21 + 1y = 2a + 0
21 + 1y = 2a

Add '-21' to each side of the equation.
21 + -21 + 1y = -21 + 2a

Combine like terms: 21 + -21 = 0
0 + 1y = -21 + 2a
1y = -21 + 2a

Divide each side by '1'.
y = -21 + 2a

Simplifying
y = -21 + 2a

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