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Simplifying -2(3 + -1y) + 8 + -5(2y + -1) = -3y (3 * -2 + -1y * -2) + 8 + -5(2y + -1) = -3y (-6 + 2y) + 8 + -5(2y + -1) = -3y Reorder the terms: -6 + 2y + 8 + -5(-1 + 2y) = -3y -6 + 2y + 8 + (-1 * -5 + 2y * -5) = -3y -6 + 2y + 8 + (5 + -10y) = -3y Reorder the terms: -6 + 8 + 5 + 2y + -10y = -3y Combine like terms: -6 + 8 = 2 2 + 5 + 2y + -10y = -3y Combine like terms: 2 + 5 = 7 7 + 2y + -10y = -3y Combine like terms: 2y + -10y = -8y 7 + -8y = -3y Solving 7 + -8y = -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 7 + -8y + 3y = -3y + 3y Combine like terms: -8y + 3y = -5y 7 + -5y = -3y + 3y Combine like terms: -3y + 3y = 0 7 + -5y = 0 Add '-7' to each side of the equation. 7 + -7 + -5y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5y = 0 + -7 -5y = 0 + -7 Combine like terms: 0 + -7 = -7 -5y = -7 Divide each side by '-5'. y = 1.4 Simplifying y = 1.4
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