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Simplifying -1(y + 6) + -2 = 5(y + 2) + -1y Reorder the terms: -1(6 + y) + -2 = 5(y + 2) + -1y (6 * -1 + y * -1) + -2 = 5(y + 2) + -1y (-6 + -1y) + -2 = 5(y + 2) + -1y Reorder the terms: -6 + -2 + -1y = 5(y + 2) + -1y Combine like terms: -6 + -2 = -8 -8 + -1y = 5(y + 2) + -1y Reorder the terms: -8 + -1y = 5(2 + y) + -1y -8 + -1y = (2 * 5 + y * 5) + -1y -8 + -1y = (10 + 5y) + -1y Combine like terms: 5y + -1y = 4y -8 + -1y = 10 + 4y Solving -8 + -1y = 10 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -8 + -1y + -4y = 10 + 4y + -4y Combine like terms: -1y + -4y = -5y -8 + -5y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 -8 + -5y = 10 + 0 -8 + -5y = 10 Add '8' to each side of the equation. -8 + 8 + -5y = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -5y = 10 + 8 -5y = 10 + 8 Combine like terms: 10 + 8 = 18 -5y = 18 Divide each side by '-5'. y = -3.6 Simplifying y = -3.6
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