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Simplifying 5y + -8 = 15y + 42 Reorder the terms: -8 + 5y = 15y + 42 Reorder the terms: -8 + 5y = 42 + 15y Solving -8 + 5y = 42 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -8 + 5y + -15y = 42 + 15y + -15y Combine like terms: 5y + -15y = -10y -8 + -10y = 42 + 15y + -15y Combine like terms: 15y + -15y = 0 -8 + -10y = 42 + 0 -8 + -10y = 42 Add '8' to each side of the equation. -8 + 8 + -10y = 42 + 8 Combine like terms: -8 + 8 = 0 0 + -10y = 42 + 8 -10y = 42 + 8 Combine like terms: 42 + 8 = 50 -10y = 50 Divide each side by '-10'. y = -5 Simplifying y = -5
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