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Simplifying -1(y + 8) + -5 = 4(y + 2) + -6y Reorder the terms: -1(8 + y) + -5 = 4(y + 2) + -6y (8 * -1 + y * -1) + -5 = 4(y + 2) + -6y (-8 + -1y) + -5 = 4(y + 2) + -6y Reorder the terms: -8 + -5 + -1y = 4(y + 2) + -6y Combine like terms: -8 + -5 = -13 -13 + -1y = 4(y + 2) + -6y Reorder the terms: -13 + -1y = 4(2 + y) + -6y -13 + -1y = (2 * 4 + y * 4) + -6y -13 + -1y = (8 + 4y) + -6y Combine like terms: 4y + -6y = -2y -13 + -1y = 8 + -2y Solving -13 + -1y = 8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -13 + -1y + 2y = 8 + -2y + 2y Combine like terms: -1y + 2y = 1y -13 + 1y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 -13 + 1y = 8 + 0 -13 + 1y = 8 Add '13' to each side of the equation. -13 + 13 + 1y = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 1y = 8 + 13 1y = 8 + 13 Combine like terms: 8 + 13 = 21 1y = 21 Divide each side by '1'. y = 21 Simplifying y = 21
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