19=-[7]y+3(1[y-7]1)

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


Simplifying
19 = -1[7] * y + 3(1[y + -7] * 1)

Multiply -1 * 7
19 = -7y + 3(1[y + -7] * 1)

Reorder the terms:
19 = -7y + 3(1[-7 + y] * 1)

Reorder the terms for easier multiplication:
19 = -7y + 3(1 * 1[-7 + y])

Multiply 1 * 1
19 = -7y + 3(1[-7 + y])
19 = -7y + 3([-7 * 1 + y * 1])
19 = -7y + 3([-7 + 1y])
19 = -7y + (-7 * 3 + 1y * 3)
19 = -7y + (-21 + 3y)

Reorder the terms:
19 = -21 + -7y + 3y

Combine like terms: -7y + 3y = -4y
19 = -21 + -4y

Solving
19 = -21 + -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.
19 + 4y = -21 + -4y + 4y

Combine like terms: -4y + 4y = 0
19 + 4y = -21 + 0
19 + 4y = -21

Add '-19' to each side of the equation.
19 + -19 + 4y = -21 + -19

Combine like terms: 19 + -19 = 0
0 + 4y = -21 + -19
4y = -21 + -19

Combine like terms: -21 + -19 = -40
4y = -40

Divide each side by '4'.
y = -10

Simplifying
y = -10

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