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Simplifying -43 + 2y + 9 = 2(3y + -2) + -6 Reorder the terms: -43 + 9 + 2y = 2(3y + -2) + -6 Combine like terms: -43 + 9 = -34 -34 + 2y = 2(3y + -2) + -6 Reorder the terms: -34 + 2y = 2(-2 + 3y) + -6 -34 + 2y = (-2 * 2 + 3y * 2) + -6 -34 + 2y = (-4 + 6y) + -6 Reorder the terms: -34 + 2y = -4 + -6 + 6y Combine like terms: -4 + -6 = -10 -34 + 2y = -10 + 6y Solving -34 + 2y = -10 + 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. -34 + 2y + -6y = -10 + 6y + -6y Combine like terms: 2y + -6y = -4y -34 + -4y = -10 + 6y + -6y Combine like terms: 6y + -6y = 0 -34 + -4y = -10 + 0 -34 + -4y = -10 Add '34' to each side of the equation. -34 + 34 + -4y = -10 + 34 Combine like terms: -34 + 34 = 0 0 + -4y = -10 + 34 -4y = -10 + 34 Combine like terms: -10 + 34 = 24 -4y = 24 Divide each side by '-4'. y = -6 Simplifying y = -6
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