4y+19=7(y+4)

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Solution for 4y+19=7(y+4) equation:


Simplifying
4y + 19 = 7(y + 4)

Reorder the terms:
19 + 4y = 7(y + 4)

Reorder the terms:
19 + 4y = 7(4 + y)
19 + 4y = (4 * 7 + y * 7)
19 + 4y = (28 + 7y)

Solving
19 + 4y = 28 + 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.
19 + 4y + -7y = 28 + 7y + -7y

Combine like terms: 4y + -7y = -3y
19 + -3y = 28 + 7y + -7y

Combine like terms: 7y + -7y = 0
19 + -3y = 28 + 0
19 + -3y = 28

Add '-19' to each side of the equation.
19 + -19 + -3y = 28 + -19

Combine like terms: 19 + -19 = 0
0 + -3y = 28 + -19
-3y = 28 + -19

Combine like terms: 28 + -19 = 9
-3y = 9

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

Simplifying
y = -3

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