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Simplifying -2(2y + -8) + -1y = -3(y + -5) Reorder the terms: -2(-8 + 2y) + -1y = -3(y + -5) (-8 * -2 + 2y * -2) + -1y = -3(y + -5) (16 + -4y) + -1y = -3(y + -5) Combine like terms: -4y + -1y = -5y 16 + -5y = -3(y + -5) Reorder the terms: 16 + -5y = -3(-5 + y) 16 + -5y = (-5 * -3 + y * -3) 16 + -5y = (15 + -3y) Solving 16 + -5y = 15 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 16 + -5y + 3y = 15 + -3y + 3y Combine like terms: -5y + 3y = -2y 16 + -2y = 15 + -3y + 3y Combine like terms: -3y + 3y = 0 16 + -2y = 15 + 0 16 + -2y = 15 Add '-16' to each side of the equation. 16 + -16 + -2y = 15 + -16 Combine like terms: 16 + -16 = 0 0 + -2y = 15 + -16 -2y = 15 + -16 Combine like terms: 15 + -16 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5
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