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Simplifying -52(y + -78) = y + (-74) Reorder the terms: -52(-78 + y) = y + (-74) (-78 * -52 + y * -52) = y + (-74) (4056 + -52y) = y + (-74) 4056 + -52y = y + -74 Reorder the terms: 4056 + -52y = -74 + y Solving 4056 + -52y = -74 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 4056 + -52y + -1y = -74 + y + -1y Combine like terms: -52y + -1y = -53y 4056 + -53y = -74 + y + -1y Combine like terms: y + -1y = 0 4056 + -53y = -74 + 0 4056 + -53y = -74 Add '-4056' to each side of the equation. 4056 + -4056 + -53y = -74 + -4056 Combine like terms: 4056 + -4056 = 0 0 + -53y = -74 + -4056 -53y = -74 + -4056 Combine like terms: -74 + -4056 = -4130 -53y = -4130 Divide each side by '-53'. y = 77.9245283 Simplifying y = 77.9245283
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