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Simplifying -1y + -3y + 71 = 33y + -16y + 8 Reorder the terms: 71 + -1y + -3y = 33y + -16y + 8 Combine like terms: -1y + -3y = -4y 71 + -4y = 33y + -16y + 8 Reorder the terms: 71 + -4y = 8 + 33y + -16y Combine like terms: 33y + -16y = 17y 71 + -4y = 8 + 17y Solving 71 + -4y = 8 + 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. 71 + -4y + -17y = 8 + 17y + -17y Combine like terms: -4y + -17y = -21y 71 + -21y = 8 + 17y + -17y Combine like terms: 17y + -17y = 0 71 + -21y = 8 + 0 71 + -21y = 8 Add '-71' to each side of the equation. 71 + -71 + -21y = 8 + -71 Combine like terms: 71 + -71 = 0 0 + -21y = 8 + -71 -21y = 8 + -71 Combine like terms: 8 + -71 = -63 -21y = -63 Divide each side by '-21'. y = 3 Simplifying y = 3
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