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Simplifying 3y + 15 = 2(3y + -15) Reorder the terms: 15 + 3y = 2(3y + -15) Reorder the terms: 15 + 3y = 2(-15 + 3y) 15 + 3y = (-15 * 2 + 3y * 2) 15 + 3y = (-30 + 6y) Solving 15 + 3y = -30 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 15 + 3y + -6y = -30 + 6y + -6y Combine like terms: 3y + -6y = -3y 15 + -3y = -30 + 6y + -6y Combine like terms: 6y + -6y = 0 15 + -3y = -30 + 0 15 + -3y = -30 Add '-15' to each side of the equation. 15 + -15 + -3y = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -3y = -30 + -15 -3y = -30 + -15 Combine like terms: -30 + -15 = -45 -3y = -45 Divide each side by '-3'. y = 15 Simplifying y = 15
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