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Simplifying -17 = -7y + 2(y + -6) Reorder the terms: -17 = -7y + 2(-6 + y) -17 = -7y + (-6 * 2 + y * 2) -17 = -7y + (-12 + 2y) Reorder the terms: -17 = -12 + -7y + 2y Combine like terms: -7y + 2y = -5y -17 = -12 + -5y Solving -17 = -12 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -17 + 5y = -12 + -5y + 5y Combine like terms: -5y + 5y = 0 -17 + 5y = -12 + 0 -17 + 5y = -12 Add '17' to each side of the equation. -17 + 17 + 5y = -12 + 17 Combine like terms: -17 + 17 = 0 0 + 5y = -12 + 17 5y = -12 + 17 Combine like terms: -12 + 17 = 5 5y = 5 Divide each side by '5'. y = 1 Simplifying y = 1
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