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Simplifying 3(y + -2) + 15 = -3(y + -3) + 6 Reorder the terms: 3(-2 + y) + 15 = -3(y + -3) + 6 (-2 * 3 + y * 3) + 15 = -3(y + -3) + 6 (-6 + 3y) + 15 = -3(y + -3) + 6 Reorder the terms: -6 + 15 + 3y = -3(y + -3) + 6 Combine like terms: -6 + 15 = 9 9 + 3y = -3(y + -3) + 6 Reorder the terms: 9 + 3y = -3(-3 + y) + 6 9 + 3y = (-3 * -3 + y * -3) + 6 9 + 3y = (9 + -3y) + 6 Reorder the terms: 9 + 3y = 9 + 6 + -3y Combine like terms: 9 + 6 = 15 9 + 3y = 15 + -3y Solving 9 + 3y = 15 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 9 + 3y + 3y = 15 + -3y + 3y Combine like terms: 3y + 3y = 6y 9 + 6y = 15 + -3y + 3y Combine like terms: -3y + 3y = 0 9 + 6y = 15 + 0 9 + 6y = 15 Add '-9' to each side of the equation. 9 + -9 + 6y = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 6y = 15 + -9 6y = 15 + -9 Combine like terms: 15 + -9 = 6 6y = 6 Divide each side by '6'. y = 1 Simplifying y = 1
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