7(y+3)+y=4(y+4)+4

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Solution for 7(y+3)+y=4(y+4)+4 equation:


Simplifying
7(y + 3) + y = 4(y + 4) + 4

Reorder the terms:
7(3 + y) + y = 4(y + 4) + 4
(3 * 7 + y * 7) + y = 4(y + 4) + 4
(21 + 7y) + y = 4(y + 4) + 4

Combine like terms: 7y + y = 8y
21 + 8y = 4(y + 4) + 4

Reorder the terms:
21 + 8y = 4(4 + y) + 4
21 + 8y = (4 * 4 + y * 4) + 4
21 + 8y = (16 + 4y) + 4

Reorder the terms:
21 + 8y = 16 + 4 + 4y

Combine like terms: 16 + 4 = 20
21 + 8y = 20 + 4y

Solving
21 + 8y = 20 + 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.
21 + 8y + -4y = 20 + 4y + -4y

Combine like terms: 8y + -4y = 4y
21 + 4y = 20 + 4y + -4y

Combine like terms: 4y + -4y = 0
21 + 4y = 20 + 0
21 + 4y = 20

Add '-21' to each side of the equation.
21 + -21 + 4y = 20 + -21

Combine like terms: 21 + -21 = 0
0 + 4y = 20 + -21
4y = 20 + -21

Combine like terms: 20 + -21 = -1
4y = -1

Divide each side by '4'.
y = -0.25

Simplifying
y = -0.25

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