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Simplifying 4(3y + -9) = (3y + 16) Reorder the terms: 4(-9 + 3y) = (3y + 16) (-9 * 4 + 3y * 4) = (3y + 16) (-36 + 12y) = (3y + 16) Reorder the terms: -36 + 12y = (16 + 3y) Remove parenthesis around (16 + 3y) -36 + 12y = 16 + 3y Solving -36 + 12y = 16 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -36 + 12y + -3y = 16 + 3y + -3y Combine like terms: 12y + -3y = 9y -36 + 9y = 16 + 3y + -3y Combine like terms: 3y + -3y = 0 -36 + 9y = 16 + 0 -36 + 9y = 16 Add '36' to each side of the equation. -36 + 36 + 9y = 16 + 36 Combine like terms: -36 + 36 = 0 0 + 9y = 16 + 36 9y = 16 + 36 Combine like terms: 16 + 36 = 52 9y = 52 Divide each side by '9'. y = 5.777777778 Simplifying y = 5.777777778
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