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Simplifying -17 = 4(y + -8) + -7y Reorder the terms: -17 = 4(-8 + y) + -7y -17 = (-8 * 4 + y * 4) + -7y -17 = (-32 + 4y) + -7y Combine like terms: 4y + -7y = -3y -17 = -32 + -3y Solving -17 = -32 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -17 + 3y = -32 + -3y + 3y Combine like terms: -3y + 3y = 0 -17 + 3y = -32 + 0 -17 + 3y = -32 Add '17' to each side of the equation. -17 + 17 + 3y = -32 + 17 Combine like terms: -17 + 17 = 0 0 + 3y = -32 + 17 3y = -32 + 17 Combine like terms: -32 + 17 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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