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Simplifying 3y + 101 + -4y + -33 = 108 + -16y + -100 Reorder the terms: 101 + -33 + 3y + -4y = 108 + -16y + -100 Combine like terms: 101 + -33 = 68 68 + 3y + -4y = 108 + -16y + -100 Combine like terms: 3y + -4y = -1y 68 + -1y = 108 + -16y + -100 Reorder the terms: 68 + -1y = 108 + -100 + -16y Combine like terms: 108 + -100 = 8 68 + -1y = 8 + -16y Solving 68 + -1y = 8 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. 68 + -1y + 16y = 8 + -16y + 16y Combine like terms: -1y + 16y = 15y 68 + 15y = 8 + -16y + 16y Combine like terms: -16y + 16y = 0 68 + 15y = 8 + 0 68 + 15y = 8 Add '-68' to each side of the equation. 68 + -68 + 15y = 8 + -68 Combine like terms: 68 + -68 = 0 0 + 15y = 8 + -68 15y = 8 + -68 Combine like terms: 8 + -68 = -60 15y = -60 Divide each side by '15'. y = -4 Simplifying y = -4
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