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Simplifying -45 + -15y + 16 = -30y + 101 + 5y Reorder the terms: -45 + 16 + -15y = -30y + 101 + 5y Combine like terms: -45 + 16 = -29 -29 + -15y = -30y + 101 + 5y Reorder the terms: -29 + -15y = 101 + -30y + 5y Combine like terms: -30y + 5y = -25y -29 + -15y = 101 + -25y Solving -29 + -15y = 101 + -25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '25y' to each side of the equation. -29 + -15y + 25y = 101 + -25y + 25y Combine like terms: -15y + 25y = 10y -29 + 10y = 101 + -25y + 25y Combine like terms: -25y + 25y = 0 -29 + 10y = 101 + 0 -29 + 10y = 101 Add '29' to each side of the equation. -29 + 29 + 10y = 101 + 29 Combine like terms: -29 + 29 = 0 0 + 10y = 101 + 29 10y = 101 + 29 Combine like terms: 101 + 29 = 130 10y = 130 Divide each side by '10'. y = 13 Simplifying y = 13
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