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Simplifying 3y + -2 = 5(y + 3) Reorder the terms: -2 + 3y = 5(y + 3) Reorder the terms: -2 + 3y = 5(3 + y) -2 + 3y = (3 * 5 + y * 5) -2 + 3y = (15 + 5y) Solving -2 + 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. -2 + 3y + -5y = 15 + 5y + -5y Combine like terms: 3y + -5y = -2y -2 + -2y = 15 + 5y + -5y Combine like terms: 5y + -5y = 0 -2 + -2y = 15 + 0 -2 + -2y = 15 Add '2' to each side of the equation. -2 + 2 + -2y = 15 + 2 Combine like terms: -2 + 2 = 0 0 + -2y = 15 + 2 -2y = 15 + 2 Combine like terms: 15 + 2 = 17 -2y = 17 Divide each side by '-2'. y = -8.5 Simplifying y = -8.5
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