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Simplifying 3x + 15 = 3x + -2y + 6 Reorder the terms: 15 + 3x = 3x + -2y + 6 Reorder the terms: 15 + 3x = 6 + 3x + -2y Add '-3x' to each side of the equation. 15 + 3x + -3x = 6 + 3x + -3x + -2y Combine like terms: 3x + -3x = 0 15 + 0 = 6 + 3x + -3x + -2y 15 = 6 + 3x + -3x + -2y Combine like terms: 3x + -3x = 0 15 = 6 + 0 + -2y 15 = 6 + -2y Solving 15 = 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 + 2y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 15 + 2y = 6 + 0 15 + 2y = 6 Add '-15' to each side of the equation. 15 + -15 + 2y = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 2y = 6 + -15 2y = 6 + -15 Combine like terms: 6 + -15 = -9 2y = -9 Divide each side by '2'. y = -4.5 Simplifying y = -4.5
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