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Simplifying 4(y + 6) + 3(7 + -4y) = 33 Reorder the terms: 4(6 + y) + 3(7 + -4y) = 33 (6 * 4 + y * 4) + 3(7 + -4y) = 33 (24 + 4y) + 3(7 + -4y) = 33 24 + 4y + (7 * 3 + -4y * 3) = 33 24 + 4y + (21 + -12y) = 33 Reorder the terms: 24 + 21 + 4y + -12y = 33 Combine like terms: 24 + 21 = 45 45 + 4y + -12y = 33 Combine like terms: 4y + -12y = -8y 45 + -8y = 33 Solving 45 + -8y = 33 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -8y = 33 + -45 Combine like terms: 45 + -45 = 0 0 + -8y = 33 + -45 -8y = 33 + -45 Combine like terms: 33 + -45 = -12 -8y = -12 Divide each side by '-8'. y = 1.5 Simplifying y = 1.5
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