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Simplifying -4y + -33 = 8y + 17 Reorder the terms: -33 + -4y = 8y + 17 Reorder the terms: -33 + -4y = 17 + 8y Solving -33 + -4y = 17 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -33 + -4y + -8y = 17 + 8y + -8y Combine like terms: -4y + -8y = -12y -33 + -12y = 17 + 8y + -8y Combine like terms: 8y + -8y = 0 -33 + -12y = 17 + 0 -33 + -12y = 17 Add '33' to each side of the equation. -33 + 33 + -12y = 17 + 33 Combine like terms: -33 + 33 = 0 0 + -12y = 17 + 33 -12y = 17 + 33 Combine like terms: 17 + 33 = 50 -12y = 50 Divide each side by '-12'. y = -4.166666667 Simplifying y = -4.166666667
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