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Simplifying -27 + 4y + 6 = 2(3y + -3) + -3 Reorder the terms: -27 + 6 + 4y = 2(3y + -3) + -3 Combine like terms: -27 + 6 = -21 -21 + 4y = 2(3y + -3) + -3 Reorder the terms: -21 + 4y = 2(-3 + 3y) + -3 -21 + 4y = (-3 * 2 + 3y * 2) + -3 -21 + 4y = (-6 + 6y) + -3 Reorder the terms: -21 + 4y = -6 + -3 + 6y Combine like terms: -6 + -3 = -9 -21 + 4y = -9 + 6y Solving -21 + 4y = -9 + 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. -21 + 4y + -6y = -9 + 6y + -6y Combine like terms: 4y + -6y = -2y -21 + -2y = -9 + 6y + -6y Combine like terms: 6y + -6y = 0 -21 + -2y = -9 + 0 -21 + -2y = -9 Add '21' to each side of the equation. -21 + 21 + -2y = -9 + 21 Combine like terms: -21 + 21 = 0 0 + -2y = -9 + 21 -2y = -9 + 21 Combine like terms: -9 + 21 = 12 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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