7(y+7)=4y+61

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Solution for 7(y+7)=4y+61 equation:


Simplifying
7(y + 7) = 4y + 61

Reorder the terms:
7(7 + y) = 4y + 61
(7 * 7 + y * 7) = 4y + 61
(49 + 7y) = 4y + 61

Reorder the terms:
49 + 7y = 61 + 4y

Solving
49 + 7y = 61 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
49 + 7y + -4y = 61 + 4y + -4y

Combine like terms: 7y + -4y = 3y
49 + 3y = 61 + 4y + -4y

Combine like terms: 4y + -4y = 0
49 + 3y = 61 + 0
49 + 3y = 61

Add '-49' to each side of the equation.
49 + -49 + 3y = 61 + -49

Combine like terms: 49 + -49 = 0
0 + 3y = 61 + -49
3y = 61 + -49

Combine like terms: 61 + -49 = 12
3y = 12

Divide each side by '3'.
y = 4

Simplifying
y = 4

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