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Simplifying 1 + -3(y + -1) = 2(y + 5) + -16 Reorder the terms: 1 + -3(-1 + y) = 2(y + 5) + -16 1 + (-1 * -3 + y * -3) = 2(y + 5) + -16 1 + (3 + -3y) = 2(y + 5) + -16 Combine like terms: 1 + 3 = 4 4 + -3y = 2(y + 5) + -16 Reorder the terms: 4 + -3y = 2(5 + y) + -16 4 + -3y = (5 * 2 + y * 2) + -16 4 + -3y = (10 + 2y) + -16 Reorder the terms: 4 + -3y = 10 + -16 + 2y Combine like terms: 10 + -16 = -6 4 + -3y = -6 + 2y Solving 4 + -3y = -6 + 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. 4 + -3y + -2y = -6 + 2y + -2y Combine like terms: -3y + -2y = -5y 4 + -5y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 4 + -5y = -6 + 0 4 + -5y = -6 Add '-4' to each side of the equation. 4 + -4 + -5y = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = -6 + -4 -5y = -6 + -4 Combine like terms: -6 + -4 = -10 -5y = -10 Divide each side by '-5'. y = 2 Simplifying y = 2
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