4(y+4)=7y+7

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


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

Reorder the terms:
4(4 + y) = 7y + 7
(4 * 4 + y * 4) = 7y + 7
(16 + 4y) = 7y + 7

Reorder the terms:
16 + 4y = 7 + 7y

Solving
16 + 4y = 7 + 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.
16 + 4y + -7y = 7 + 7y + -7y

Combine like terms: 4y + -7y = -3y
16 + -3y = 7 + 7y + -7y

Combine like terms: 7y + -7y = 0
16 + -3y = 7 + 0
16 + -3y = 7

Add '-16' to each side of the equation.
16 + -16 + -3y = 7 + -16

Combine like terms: 16 + -16 = 0
0 + -3y = 7 + -16
-3y = 7 + -16

Combine like terms: 7 + -16 = -9
-3y = -9

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

Simplifying
y = 3

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