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Simplifying 5y + 15 = 5(2y + -3) Reorder the terms: 15 + 5y = 5(2y + -3) Reorder the terms: 15 + 5y = 5(-3 + 2y) 15 + 5y = (-3 * 5 + 2y * 5) 15 + 5y = (-15 + 10y) Solving 15 + 5y = -15 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 15 + 5y + -10y = -15 + 10y + -10y Combine like terms: 5y + -10y = -5y 15 + -5y = -15 + 10y + -10y Combine like terms: 10y + -10y = 0 15 + -5y = -15 + 0 15 + -5y = -15 Add '-15' to each side of the equation. 15 + -15 + -5y = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -5y = -15 + -15 -5y = -15 + -15 Combine like terms: -15 + -15 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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