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Simplifying -3y + -15 = 2(17 + -5y) Reorder the terms: -15 + -3y = 2(17 + -5y) -15 + -3y = (17 * 2 + -5y * 2) -15 + -3y = (34 + -10y) Solving -15 + -3y = 34 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -15 + -3y + 10y = 34 + -10y + 10y Combine like terms: -3y + 10y = 7y -15 + 7y = 34 + -10y + 10y Combine like terms: -10y + 10y = 0 -15 + 7y = 34 + 0 -15 + 7y = 34 Add '15' to each side of the equation. -15 + 15 + 7y = 34 + 15 Combine like terms: -15 + 15 = 0 0 + 7y = 34 + 15 7y = 34 + 15 Combine like terms: 34 + 15 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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