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Simplifying 5y + -2y + 15 = 5y + (-6 + 7) Reorder the terms: 15 + 5y + -2y = 5y + (-6 + 7) Combine like terms: 5y + -2y = 3y 15 + 3y = 5y + (-6 + 7) Combine like terms: -6 + 7 = 1 15 + 3y = 5y + (1) 15 + 3y = 5y + 1 Reorder the terms: 15 + 3y = 1 + 5y Solving 15 + 3y = 1 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 15 + 3y + -5y = 1 + 5y + -5y Combine like terms: 3y + -5y = -2y 15 + -2y = 1 + 5y + -5y Combine like terms: 5y + -5y = 0 15 + -2y = 1 + 0 15 + -2y = 1 Add '-15' to each side of the equation. 15 + -15 + -2y = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -2y = 1 + -15 -2y = 1 + -15 Combine like terms: 1 + -15 = -14 -2y = -14 Divide each side by '-2'. y = 7 Simplifying y = 7
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