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Simplifying -6y + 5(-2y + -4) = 6 + 8(-6 + -1y) Reorder the terms: -6y + 5(-4 + -2y) = 6 + 8(-6 + -1y) -6y + (-4 * 5 + -2y * 5) = 6 + 8(-6 + -1y) -6y + (-20 + -10y) = 6 + 8(-6 + -1y) Reorder the terms: -20 + -6y + -10y = 6 + 8(-6 + -1y) Combine like terms: -6y + -10y = -16y -20 + -16y = 6 + 8(-6 + -1y) -20 + -16y = 6 + (-6 * 8 + -1y * 8) -20 + -16y = 6 + (-48 + -8y) Combine like terms: 6 + -48 = -42 -20 + -16y = -42 + -8y Solving -20 + -16y = -42 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -20 + -16y + 8y = -42 + -8y + 8y Combine like terms: -16y + 8y = -8y -20 + -8y = -42 + -8y + 8y Combine like terms: -8y + 8y = 0 -20 + -8y = -42 + 0 -20 + -8y = -42 Add '20' to each side of the equation. -20 + 20 + -8y = -42 + 20 Combine like terms: -20 + 20 = 0 0 + -8y = -42 + 20 -8y = -42 + 20 Combine like terms: -42 + 20 = -22 -8y = -22 Divide each side by '-8'. y = 2.75 Simplifying y = 2.75
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