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Simplifying 5(2 + -1y) = -3(y + -4) (2 * 5 + -1y * 5) = -3(y + -4) (10 + -5y) = -3(y + -4) Reorder the terms: 10 + -5y = -3(-4 + y) 10 + -5y = (-4 * -3 + y * -3) 10 + -5y = (12 + -3y) Solving 10 + -5y = 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. 10 + -5y + 3y = 12 + -3y + 3y Combine like terms: -5y + 3y = -2y 10 + -2y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 10 + -2y = 12 + 0 10 + -2y = 12 Add '-10' to each side of the equation. 10 + -10 + -2y = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -2y = 12 + -10 -2y = 12 + -10 Combine like terms: 12 + -10 = 2 -2y = 2 Divide each side by '-2'. y = -1 Simplifying y = -1
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