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Simplifying -4(5y + -10) + -1y = -3(y + -4) Reorder the terms: -4(-10 + 5y) + -1y = -3(y + -4) (-10 * -4 + 5y * -4) + -1y = -3(y + -4) (40 + -20y) + -1y = -3(y + -4) Combine like terms: -20y + -1y = -21y 40 + -21y = -3(y + -4) Reorder the terms: 40 + -21y = -3(-4 + y) 40 + -21y = (-4 * -3 + y * -3) 40 + -21y = (12 + -3y) Solving 40 + -21y = 12 + -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. 40 + -21y + 3y = 12 + -3y + 3y Combine like terms: -21y + 3y = -18y 40 + -18y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 40 + -18y = 12 + 0 40 + -18y = 12 Add '-40' to each side of the equation. 40 + -40 + -18y = 12 + -40 Combine like terms: 40 + -40 = 0 0 + -18y = 12 + -40 -18y = 12 + -40 Combine like terms: 12 + -40 = -28 -18y = -28 Divide each side by '-18'. y = 1.555555556 Simplifying y = 1.555555556
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