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Simplifying 5(y + 10) = -50(y + -1) + -385 Reorder the terms: 5(10 + y) = -50(y + -1) + -385 (10 * 5 + y * 5) = -50(y + -1) + -385 (50 + 5y) = -50(y + -1) + -385 Reorder the terms: 50 + 5y = -50(-1 + y) + -385 50 + 5y = (-1 * -50 + y * -50) + -385 50 + 5y = (50 + -50y) + -385 Reorder the terms: 50 + 5y = 50 + -385 + -50y Combine like terms: 50 + -385 = -335 50 + 5y = -335 + -50y Solving 50 + 5y = -335 + -50y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '50y' to each side of the equation. 50 + 5y + 50y = -335 + -50y + 50y Combine like terms: 5y + 50y = 55y 50 + 55y = -335 + -50y + 50y Combine like terms: -50y + 50y = 0 50 + 55y = -335 + 0 50 + 55y = -335 Add '-50' to each side of the equation. 50 + -50 + 55y = -335 + -50 Combine like terms: 50 + -50 = 0 0 + 55y = -335 + -50 55y = -335 + -50 Combine like terms: -335 + -50 = -385 55y = -385 Divide each side by '55'. y = -7 Simplifying y = -7
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