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Simplifying 8 + -1(y + 2) = 3(y + -5) + 6 Reorder the terms: 8 + -1(2 + y) = 3(y + -5) + 6 8 + (2 * -1 + y * -1) = 3(y + -5) + 6 8 + (-2 + -1y) = 3(y + -5) + 6 Combine like terms: 8 + -2 = 6 6 + -1y = 3(y + -5) + 6 Reorder the terms: 6 + -1y = 3(-5 + y) + 6 6 + -1y = (-5 * 3 + y * 3) + 6 6 + -1y = (-15 + 3y) + 6 Reorder the terms: 6 + -1y = -15 + 6 + 3y Combine like terms: -15 + 6 = -9 6 + -1y = -9 + 3y Solving 6 + -1y = -9 + 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. 6 + -1y + -3y = -9 + 3y + -3y Combine like terms: -1y + -3y = -4y 6 + -4y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 6 + -4y = -9 + 0 6 + -4y = -9 Add '-6' to each side of the equation. 6 + -6 + -4y = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -4y = -9 + -6 -4y = -9 + -6 Combine like terms: -9 + -6 = -15 -4y = -15 Divide each side by '-4'. y = 3.75 Simplifying y = 3.75
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