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Simplifying 43y + 4 = 15 + -1(5y + -4) Reorder the terms: 4 + 43y = 15 + -1(5y + -4) Reorder the terms: 4 + 43y = 15 + -1(-4 + 5y) 4 + 43y = 15 + (-4 * -1 + 5y * -1) 4 + 43y = 15 + (4 + -5y) Combine like terms: 15 + 4 = 19 4 + 43y = 19 + -5y Solving 4 + 43y = 19 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 4 + 43y + 5y = 19 + -5y + 5y Combine like terms: 43y + 5y = 48y 4 + 48y = 19 + -5y + 5y Combine like terms: -5y + 5y = 0 4 + 48y = 19 + 0 4 + 48y = 19 Add '-4' to each side of the equation. 4 + -4 + 48y = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 48y = 19 + -4 48y = 19 + -4 Combine like terms: 19 + -4 = 15 48y = 15 Divide each side by '48'. y = 0.3125 Simplifying y = 0.3125
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