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Simplifying -21 + -1(2y + -1) = 2(y + -2) + 4y Reorder the terms: -21 + -1(-1 + 2y) = 2(y + -2) + 4y -21 + (-1 * -1 + 2y * -1) = 2(y + -2) + 4y -21 + (1 + -2y) = 2(y + -2) + 4y Combine like terms: -21 + 1 = -20 -20 + -2y = 2(y + -2) + 4y Reorder the terms: -20 + -2y = 2(-2 + y) + 4y -20 + -2y = (-2 * 2 + y * 2) + 4y -20 + -2y = (-4 + 2y) + 4y Combine like terms: 2y + 4y = 6y -20 + -2y = -4 + 6y Solving -20 + -2y = -4 + 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. -20 + -2y + -6y = -4 + 6y + -6y Combine like terms: -2y + -6y = -8y -20 + -8y = -4 + 6y + -6y Combine like terms: 6y + -6y = 0 -20 + -8y = -4 + 0 -20 + -8y = -4 Add '20' to each side of the equation. -20 + 20 + -8y = -4 + 20 Combine like terms: -20 + 20 = 0 0 + -8y = -4 + 20 -8y = -4 + 20 Combine like terms: -4 + 20 = 16 -8y = 16 Divide each side by '-8'. y = -2 Simplifying y = -2
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