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Simplifying 4(y + 2) + -21 = -3(6 + -1y) + 2 Reorder the terms: 4(2 + y) + -21 = -3(6 + -1y) + 2 (2 * 4 + y * 4) + -21 = -3(6 + -1y) + 2 (8 + 4y) + -21 = -3(6 + -1y) + 2 Reorder the terms: 8 + -21 + 4y = -3(6 + -1y) + 2 Combine like terms: 8 + -21 = -13 -13 + 4y = -3(6 + -1y) + 2 -13 + 4y = (6 * -3 + -1y * -3) + 2 -13 + 4y = (-18 + 3y) + 2 Reorder the terms: -13 + 4y = -18 + 2 + 3y Combine like terms: -18 + 2 = -16 -13 + 4y = -16 + 3y Solving -13 + 4y = -16 + 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. -13 + 4y + -3y = -16 + 3y + -3y Combine like terms: 4y + -3y = 1y -13 + 1y = -16 + 3y + -3y Combine like terms: 3y + -3y = 0 -13 + 1y = -16 + 0 -13 + 1y = -16 Add '13' to each side of the equation. -13 + 13 + 1y = -16 + 13 Combine like terms: -13 + 13 = 0 0 + 1y = -16 + 13 1y = -16 + 13 Combine like terms: -16 + 13 = -3 1y = -3 Divide each side by '1'. y = -3 Simplifying y = -3
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