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Simplifying -6y + -8(4y + -6) = 8 + -2(-3 + -1y) Reorder the terms: -6y + -8(-6 + 4y) = 8 + -2(-3 + -1y) -6y + (-6 * -8 + 4y * -8) = 8 + -2(-3 + -1y) -6y + (48 + -32y) = 8 + -2(-3 + -1y) Reorder the terms: 48 + -6y + -32y = 8 + -2(-3 + -1y) Combine like terms: -6y + -32y = -38y 48 + -38y = 8 + -2(-3 + -1y) 48 + -38y = 8 + (-3 * -2 + -1y * -2) 48 + -38y = 8 + (6 + 2y) Combine like terms: 8 + 6 = 14 48 + -38y = 14 + 2y Solving 48 + -38y = 14 + 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. 48 + -38y + -2y = 14 + 2y + -2y Combine like terms: -38y + -2y = -40y 48 + -40y = 14 + 2y + -2y Combine like terms: 2y + -2y = 0 48 + -40y = 14 + 0 48 + -40y = 14 Add '-48' to each side of the equation. 48 + -48 + -40y = 14 + -48 Combine like terms: 48 + -48 = 0 0 + -40y = 14 + -48 -40y = 14 + -48 Combine like terms: 14 + -48 = -34 -40y = -34 Divide each side by '-40'. y = 0.85 Simplifying y = 0.85
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