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Simplifying 5y + -3(2y + -1) = 3y + 8 Reorder the terms: 5y + -3(-1 + 2y) = 3y + 8 5y + (-1 * -3 + 2y * -3) = 3y + 8 5y + (3 + -6y) = 3y + 8 Reorder the terms: 3 + 5y + -6y = 3y + 8 Combine like terms: 5y + -6y = -1y 3 + -1y = 3y + 8 Reorder the terms: 3 + -1y = 8 + 3y Solving 3 + -1y = 8 + 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. 3 + -1y + -3y = 8 + 3y + -3y Combine like terms: -1y + -3y = -4y 3 + -4y = 8 + 3y + -3y Combine like terms: 3y + -3y = 0 3 + -4y = 8 + 0 3 + -4y = 8 Add '-3' to each side of the equation. 3 + -3 + -4y = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 8 + -3 -4y = 8 + -3 Combine like terms: 8 + -3 = 5 -4y = 5 Divide each side by '-4'. y = -1.25 Simplifying y = -1.25
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