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