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Simplifying -43 + 3y + 5 = 3(3y + -2) + -8 Reorder the terms: -43 + 5 + 3y = 3(3y + -2) + -8 Combine like terms: -43 + 5 = -38 -38 + 3y = 3(3y + -2) + -8 Reorder the terms: -38 + 3y = 3(-2 + 3y) + -8 -38 + 3y = (-2 * 3 + 3y * 3) + -8 -38 + 3y = (-6 + 9y) + -8 Reorder the terms: -38 + 3y = -6 + -8 + 9y Combine like terms: -6 + -8 = -14 -38 + 3y = -14 + 9y Solving -38 + 3y = -14 + 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. -38 + 3y + -9y = -14 + 9y + -9y Combine like terms: 3y + -9y = -6y -38 + -6y = -14 + 9y + -9y Combine like terms: 9y + -9y = 0 -38 + -6y = -14 + 0 -38 + -6y = -14 Add '38' to each side of the equation. -38 + 38 + -6y = -14 + 38 Combine like terms: -38 + 38 = 0 0 + -6y = -14 + 38 -6y = -14 + 38 Combine like terms: -14 + 38 = 24 -6y = 24 Divide each side by '-6'. y = -4 Simplifying y = -4
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