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Simplifying 3(y + -2) + 15 = -1(y + -3) + 6 Reorder the terms: 3(-2 + y) + 15 = -1(y + -3) + 6 (-2 * 3 + y * 3) + 15 = -1(y + -3) + 6 (-6 + 3y) + 15 = -1(y + -3) + 6 Reorder the terms: -6 + 15 + 3y = -1(y + -3) + 6 Combine like terms: -6 + 15 = 9 9 + 3y = -1(y + -3) + 6 Reorder the terms: 9 + 3y = -1(-3 + y) + 6 9 + 3y = (-3 * -1 + y * -1) + 6 9 + 3y = (3 + -1y) + 6 Reorder the terms: 9 + 3y = 3 + 6 + -1y Combine like terms: 3 + 6 = 9 9 + 3y = 9 + -1y Add '-9' to each side of the equation. 9 + -9 + 3y = 9 + -9 + -1y Combine like terms: 9 + -9 = 0 0 + 3y = 9 + -9 + -1y 3y = 9 + -9 + -1y Combine like terms: 9 + -9 = 0 3y = 0 + -1y 3y = -1y Solving 3y = -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 3y + y = -1y + y Combine like terms: 3y + y = 4y 4y = -1y + y Combine like terms: -1y + y = 0 4y = 0 Divide each side by '4'. y = 0 Simplifying y = 0
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