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Simplifying 75 + -5y = 50(-4 + y) 75 + -5y = (-4 * 50 + y * 50) 75 + -5y = (-200 + 50y) Solving 75 + -5y = -200 + 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. 75 + -5y + -50y = -200 + 50y + -50y Combine like terms: -5y + -50y = -55y 75 + -55y = -200 + 50y + -50y Combine like terms: 50y + -50y = 0 75 + -55y = -200 + 0 75 + -55y = -200 Add '-75' to each side of the equation. 75 + -75 + -55y = -200 + -75 Combine like terms: 75 + -75 = 0 0 + -55y = -200 + -75 -55y = -200 + -75 Combine like terms: -200 + -75 = -275 -55y = -275 Divide each side by '-55'. y = 5 Simplifying y = 5
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