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Simplifying 5(y + -3) = 2(y + 3) Reorder the terms: 5(-3 + y) = 2(y + 3) (-3 * 5 + y * 5) = 2(y + 3) (-15 + 5y) = 2(y + 3) Reorder the terms: -15 + 5y = 2(3 + y) -15 + 5y = (3 * 2 + y * 2) -15 + 5y = (6 + 2y) Solving -15 + 5y = 6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -15 + 5y + -2y = 6 + 2y + -2y Combine like terms: 5y + -2y = 3y -15 + 3y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 -15 + 3y = 6 + 0 -15 + 3y = 6 Add '15' to each side of the equation. -15 + 15 + 3y = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 3y = 6 + 15 3y = 6 + 15 Combine like terms: 6 + 15 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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