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Simplifying 2y + 8 + -4y + -10 = 10y + 25 + 25y + 50 Reorder the terms: 8 + -10 + 2y + -4y = 10y + 25 + 25y + 50 Combine like terms: 8 + -10 = -2 -2 + 2y + -4y = 10y + 25 + 25y + 50 Combine like terms: 2y + -4y = -2y -2 + -2y = 10y + 25 + 25y + 50 Reorder the terms: -2 + -2y = 25 + 50 + 10y + 25y Combine like terms: 25 + 50 = 75 -2 + -2y = 75 + 10y + 25y Combine like terms: 10y + 25y = 35y -2 + -2y = 75 + 35y Solving -2 + -2y = 75 + 35y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35y' to each side of the equation. -2 + -2y + -35y = 75 + 35y + -35y Combine like terms: -2y + -35y = -37y -2 + -37y = 75 + 35y + -35y Combine like terms: 35y + -35y = 0 -2 + -37y = 75 + 0 -2 + -37y = 75 Add '2' to each side of the equation. -2 + 2 + -37y = 75 + 2 Combine like terms: -2 + 2 = 0 0 + -37y = 75 + 2 -37y = 75 + 2 Combine like terms: 75 + 2 = 77 -37y = 77 Divide each side by '-37'. y = -2.081081081 Simplifying y = -2.081081081
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