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Simplifying 1 + -2(y + 3) = 5(2 + -1y) Reorder the terms: 1 + -2(3 + y) = 5(2 + -1y) 1 + (3 * -2 + y * -2) = 5(2 + -1y) 1 + (-6 + -2y) = 5(2 + -1y) Combine like terms: 1 + -6 = -5 -5 + -2y = 5(2 + -1y) -5 + -2y = (2 * 5 + -1y * 5) -5 + -2y = (10 + -5y) Solving -5 + -2y = 10 + -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. -5 + -2y + 5y = 10 + -5y + 5y Combine like terms: -2y + 5y = 3y -5 + 3y = 10 + -5y + 5y Combine like terms: -5y + 5y = 0 -5 + 3y = 10 + 0 -5 + 3y = 10 Add '5' to each side of the equation. -5 + 5 + 3y = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 3y = 10 + 5 3y = 10 + 5 Combine like terms: 10 + 5 = 15 3y = 15 Divide each side by '3'. y = 5 Simplifying y = 5
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