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Simplifying -43 + 5y + 4 = 3(3y + -3) + -6 Reorder the terms: -43 + 4 + 5y = 3(3y + -3) + -6 Combine like terms: -43 + 4 = -39 -39 + 5y = 3(3y + -3) + -6 Reorder the terms: -39 + 5y = 3(-3 + 3y) + -6 -39 + 5y = (-3 * 3 + 3y * 3) + -6 -39 + 5y = (-9 + 9y) + -6 Reorder the terms: -39 + 5y = -9 + -6 + 9y Combine like terms: -9 + -6 = -15 -39 + 5y = -15 + 9y Solving -39 + 5y = -15 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -39 + 5y + -9y = -15 + 9y + -9y Combine like terms: 5y + -9y = -4y -39 + -4y = -15 + 9y + -9y Combine like terms: 9y + -9y = 0 -39 + -4y = -15 + 0 -39 + -4y = -15 Add '39' to each side of the equation. -39 + 39 + -4y = -15 + 39 Combine like terms: -39 + 39 = 0 0 + -4y = -15 + 39 -4y = -15 + 39 Combine like terms: -15 + 39 = 24 -4y = 24 Divide each side by '-4'. y = -6 Simplifying y = -6
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