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Simplifying 9 + 4(3y + -2) = 5y + 43 Reorder the terms: 9 + 4(-2 + 3y) = 5y + 43 9 + (-2 * 4 + 3y * 4) = 5y + 43 9 + (-8 + 12y) = 5y + 43 Combine like terms: 9 + -8 = 1 1 + 12y = 5y + 43 Reorder the terms: 1 + 12y = 43 + 5y Solving 1 + 12y = 43 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 1 + 12y + -5y = 43 + 5y + -5y Combine like terms: 12y + -5y = 7y 1 + 7y = 43 + 5y + -5y Combine like terms: 5y + -5y = 0 1 + 7y = 43 + 0 1 + 7y = 43 Add '-1' to each side of the equation. 1 + -1 + 7y = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 7y = 43 + -1 7y = 43 + -1 Combine like terms: 43 + -1 = 42 7y = 42 Divide each side by '7'. y = 6 Simplifying y = 6
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