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Simplifying -1(y + 5) + -3 = 6(y + 3) + -3y Reorder the terms: -1(5 + y) + -3 = 6(y + 3) + -3y (5 * -1 + y * -1) + -3 = 6(y + 3) + -3y (-5 + -1y) + -3 = 6(y + 3) + -3y Reorder the terms: -5 + -3 + -1y = 6(y + 3) + -3y Combine like terms: -5 + -3 = -8 -8 + -1y = 6(y + 3) + -3y Reorder the terms: -8 + -1y = 6(3 + y) + -3y -8 + -1y = (3 * 6 + y * 6) + -3y -8 + -1y = (18 + 6y) + -3y Combine like terms: 6y + -3y = 3y -8 + -1y = 18 + 3y Solving -8 + -1y = 18 + 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. -8 + -1y + -3y = 18 + 3y + -3y Combine like terms: -1y + -3y = -4y -8 + -4y = 18 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + -4y = 18 + 0 -8 + -4y = 18 Add '8' to each side of the equation. -8 + 8 + -4y = 18 + 8 Combine like terms: -8 + 8 = 0 0 + -4y = 18 + 8 -4y = 18 + 8 Combine like terms: 18 + 8 = 26 -4y = 26 Divide each side by '-4'. y = -6.5 Simplifying y = -6.5
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