7(y+9)=3y+5

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Solution for 7(y+9)=3y+5 equation:


Simplifying
7(y + 9) = 3y + 5

Reorder the terms:
7(9 + y) = 3y + 5
(9 * 7 + y * 7) = 3y + 5
(63 + 7y) = 3y + 5

Reorder the terms:
63 + 7y = 5 + 3y

Solving
63 + 7y = 5 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
63 + 7y + -3y = 5 + 3y + -3y

Combine like terms: 7y + -3y = 4y
63 + 4y = 5 + 3y + -3y

Combine like terms: 3y + -3y = 0
63 + 4y = 5 + 0
63 + 4y = 5

Add '-63' to each side of the equation.
63 + -63 + 4y = 5 + -63

Combine like terms: 63 + -63 = 0
0 + 4y = 5 + -63
4y = 5 + -63

Combine like terms: 5 + -63 = -58
4y = -58

Divide each side by '4'.
y = -14.5

Simplifying
y = -14.5

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