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Simplifying 3y + 5 = 5(y + -3) Reorder the terms: 5 + 3y = 5(y + -3) Reorder the terms: 5 + 3y = 5(-3 + y) 5 + 3y = (-3 * 5 + y * 5) 5 + 3y = (-15 + 5y) Solving 5 + 3y = -15 + 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. 5 + 3y + -5y = -15 + 5y + -5y Combine like terms: 3y + -5y = -2y 5 + -2y = -15 + 5y + -5y Combine like terms: 5y + -5y = 0 5 + -2y = -15 + 0 5 + -2y = -15 Add '-5' to each side of the equation. 5 + -5 + -2y = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = -15 + -5 -2y = -15 + -5 Combine like terms: -15 + -5 = -20 -2y = -20 Divide each side by '-2'. y = 10 Simplifying y = 10
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