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Simplifying -8(4y + -10) = 16(3y + -5) Reorder the terms: -8(-10 + 4y) = 16(3y + -5) (-10 * -8 + 4y * -8) = 16(3y + -5) (80 + -32y) = 16(3y + -5) Reorder the terms: 80 + -32y = 16(-5 + 3y) 80 + -32y = (-5 * 16 + 3y * 16) 80 + -32y = (-80 + 48y) Solving 80 + -32y = -80 + 48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48y' to each side of the equation. 80 + -32y + -48y = -80 + 48y + -48y Combine like terms: -32y + -48y = -80y 80 + -80y = -80 + 48y + -48y Combine like terms: 48y + -48y = 0 80 + -80y = -80 + 0 80 + -80y = -80 Add '-80' to each side of the equation. 80 + -80 + -80y = -80 + -80 Combine like terms: 80 + -80 = 0 0 + -80y = -80 + -80 -80y = -80 + -80 Combine like terms: -80 + -80 = -160 -80y = -160 Divide each side by '-80'. y = 2 Simplifying y = 2
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