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Simplifying 15 + -4y + -17 = 8y + 19 + -5y Reorder the terms: 15 + -17 + -4y = 8y + 19 + -5y Combine like terms: 15 + -17 = -2 -2 + -4y = 8y + 19 + -5y Reorder the terms: -2 + -4y = 19 + 8y + -5y Combine like terms: 8y + -5y = 3y -2 + -4y = 19 + 3y Solving -2 + -4y = 19 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -2 + -4y + -3y = 19 + 3y + -3y Combine like terms: -4y + -3y = -7y -2 + -7y = 19 + 3y + -3y Combine like terms: 3y + -3y = 0 -2 + -7y = 19 + 0 -2 + -7y = 19 Add '2' to each side of the equation. -2 + 2 + -7y = 19 + 2 Combine like terms: -2 + 2 = 0 0 + -7y = 19 + 2 -7y = 19 + 2 Combine like terms: 19 + 2 = 21 -7y = 21 Divide each side by '-7'. y = -3 Simplifying y = -3
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