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Simplifying 5(10 + -1y) = 4(2y + 3) (10 * 5 + -1y * 5) = 4(2y + 3) (50 + -5y) = 4(2y + 3) Reorder the terms: 50 + -5y = 4(3 + 2y) 50 + -5y = (3 * 4 + 2y * 4) 50 + -5y = (12 + 8y) Solving 50 + -5y = 12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 50 + -5y + -8y = 12 + 8y + -8y Combine like terms: -5y + -8y = -13y 50 + -13y = 12 + 8y + -8y Combine like terms: 8y + -8y = 0 50 + -13y = 12 + 0 50 + -13y = 12 Add '-50' to each side of the equation. 50 + -50 + -13y = 12 + -50 Combine like terms: 50 + -50 = 0 0 + -13y = 12 + -50 -13y = 12 + -50 Combine like terms: 12 + -50 = -38 -13y = -38 Divide each side by '-13'. y = 2.923076923 Simplifying y = 2.923076923
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