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Simplifying 9(3y + -4) = 3(4y + 7) Reorder the terms: 9(-4 + 3y) = 3(4y + 7) (-4 * 9 + 3y * 9) = 3(4y + 7) (-36 + 27y) = 3(4y + 7) Reorder the terms: -36 + 27y = 3(7 + 4y) -36 + 27y = (7 * 3 + 4y * 3) -36 + 27y = (21 + 12y) Solving -36 + 27y = 21 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -36 + 27y + -12y = 21 + 12y + -12y Combine like terms: 27y + -12y = 15y -36 + 15y = 21 + 12y + -12y Combine like terms: 12y + -12y = 0 -36 + 15y = 21 + 0 -36 + 15y = 21 Add '36' to each side of the equation. -36 + 36 + 15y = 21 + 36 Combine like terms: -36 + 36 = 0 0 + 15y = 21 + 36 15y = 21 + 36 Combine like terms: 21 + 36 = 57 15y = 57 Divide each side by '15'. y = 3.8 Simplifying y = 3.8
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