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Simplifying 3y + 7 = 5y + -8 Reorder the terms: 7 + 3y = 5y + -8 Reorder the terms: 7 + 3y = -8 + 5y Solving 7 + 3y = -8 + 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. 7 + 3y + -5y = -8 + 5y + -5y Combine like terms: 3y + -5y = -2y 7 + -2y = -8 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + -2y = -8 + 0 7 + -2y = -8 Add '-7' to each side of the equation. 7 + -7 + -2y = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = -8 + -7 -2y = -8 + -7 Combine like terms: -8 + -7 = -15 -2y = -15 Divide each side by '-2'. y = 7.5 Simplifying y = 7.5
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