7(y+4)-3(1+y)=-19

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Solution for 7(y+4)-3(1+y)=-19 equation:


Simplifying
7(y + 4) + -3(1 + y) = -19

Reorder the terms:
7(4 + y) + -3(1 + y) = -19
(4 * 7 + y * 7) + -3(1 + y) = -19
(28 + 7y) + -3(1 + y) = -19
28 + 7y + (1 * -3 + y * -3) = -19
28 + 7y + (-3 + -3y) = -19

Reorder the terms:
28 + -3 + 7y + -3y = -19

Combine like terms: 28 + -3 = 25
25 + 7y + -3y = -19

Combine like terms: 7y + -3y = 4y
25 + 4y = -19

Solving
25 + 4y = -19

Solving for variable 'y'.

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

Add '-25' to each side of the equation.
25 + -25 + 4y = -19 + -25

Combine like terms: 25 + -25 = 0
0 + 4y = -19 + -25
4y = -19 + -25

Combine like terms: -19 + -25 = -44
4y = -44

Divide each side by '4'.
y = -11

Simplifying
y = -11

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