17-y+8+3y+2y=y(-7+3)+1

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Solution for 17-y+8+3y+2y=y(-7+3)+1 equation:


Simplifying
17 + -1y + 8 + 3y + 2y = y(-7 + 3) + 1

Reorder the terms:
17 + 8 + -1y + 3y + 2y = y(-7 + 3) + 1

Combine like terms: 17 + 8 = 25
25 + -1y + 3y + 2y = y(-7 + 3) + 1

Combine like terms: -1y + 3y = 2y
25 + 2y + 2y = y(-7 + 3) + 1

Combine like terms: 2y + 2y = 4y
25 + 4y = y(-7 + 3) + 1

Combine like terms: -7 + 3 = -4
25 + 4y = y(-4) + 1

Reorder the terms for easier multiplication:
25 + 4y = -4y + 1

Reorder the terms:
25 + 4y = 1 + -4y

Solving
25 + 4y = 1 + -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.
25 + 4y + 4y = 1 + -4y + 4y

Combine like terms: 4y + 4y = 8y
25 + 8y = 1 + -4y + 4y

Combine like terms: -4y + 4y = 0
25 + 8y = 1 + 0
25 + 8y = 1

Add '-25' to each side of the equation.
25 + -25 + 8y = 1 + -25

Combine like terms: 25 + -25 = 0
0 + 8y = 1 + -25
8y = 1 + -25

Combine like terms: 1 + -25 = -24
8y = -24

Divide each side by '8'.
y = -3

Simplifying
y = -3

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