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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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