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Simplifying y + 15 = 6y + -45 Reorder the terms: 15 + y = 6y + -45 Reorder the terms: 15 + y = -45 + 6y Solving 15 + y = -45 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 15 + y + -6y = -45 + 6y + -6y Combine like terms: y + -6y = -5y 15 + -5y = -45 + 6y + -6y Combine like terms: 6y + -6y = 0 15 + -5y = -45 + 0 15 + -5y = -45 Add '-15' to each side of the equation. 15 + -15 + -5y = -45 + -15 Combine like terms: 15 + -15 = 0 0 + -5y = -45 + -15 -5y = -45 + -15 Combine like terms: -45 + -15 = -60 -5y = -60 Divide each side by '-5'. y = 12 Simplifying y = 12
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