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Simplifying 7y + 17 = 3(y + -5) Reorder the terms: 17 + 7y = 3(y + -5) Reorder the terms: 17 + 7y = 3(-5 + y) 17 + 7y = (-5 * 3 + y * 3) 17 + 7y = (-15 + 3y) Solving 17 + 7y = -15 + 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 + 7y + -3y = -15 + 3y + -3y Combine like terms: 7y + -3y = 4y 17 + 4y = -15 + 3y + -3y Combine like terms: 3y + -3y = 0 17 + 4y = -15 + 0 17 + 4y = -15 Add '-17' to each side of the equation. 17 + -17 + 4y = -15 + -17 Combine like terms: 17 + -17 = 0 0 + 4y = -15 + -17 4y = -15 + -17 Combine like terms: -15 + -17 = -32 4y = -32 Divide each side by '4'. y = -8 Simplifying y = -8
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