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Simplifying 8y + -5(3 + y) = 2(y + 1) 8y + (3 * -5 + y * -5) = 2(y + 1) 8y + (-15 + -5y) = 2(y + 1) Reorder the terms: -15 + 8y + -5y = 2(y + 1) Combine like terms: 8y + -5y = 3y -15 + 3y = 2(y + 1) Reorder the terms: -15 + 3y = 2(1 + y) -15 + 3y = (1 * 2 + y * 2) -15 + 3y = (2 + 2y) Solving -15 + 3y = 2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -15 + 3y + -2y = 2 + 2y + -2y Combine like terms: 3y + -2y = 1y -15 + 1y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 -15 + 1y = 2 + 0 -15 + 1y = 2 Add '15' to each side of the equation. -15 + 15 + 1y = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 1y = 2 + 15 1y = 2 + 15 Combine like terms: 2 + 15 = 17 1y = 17 Divide each side by '1'. y = 17 Simplifying y = 17
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