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Simplifying 3y + -17 = 5(y + -3) Reorder the terms: -17 + 3y = 5(y + -3) Reorder the terms: -17 + 3y = 5(-3 + y) -17 + 3y = (-3 * 5 + y * 5) -17 + 3y = (-15 + 5y) Solving -17 + 3y = -15 + 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 + 3y + -5y = -15 + 5y + -5y Combine like terms: 3y + -5y = -2y -17 + -2y = -15 + 5y + -5y Combine like terms: 5y + -5y = 0 -17 + -2y = -15 + 0 -17 + -2y = -15 Add '17' to each side of the equation. -17 + 17 + -2y = -15 + 17 Combine like terms: -17 + 17 = 0 0 + -2y = -15 + 17 -2y = -15 + 17 Combine like terms: -15 + 17 = 2 -2y = 2 Divide each side by '-2'. y = -1 Simplifying y = -1
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