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Simplifying 4(3y + 5) = 3(5y + -3) Reorder the terms: 4(5 + 3y) = 3(5y + -3) (5 * 4 + 3y * 4) = 3(5y + -3) (20 + 12y) = 3(5y + -3) Reorder the terms: 20 + 12y = 3(-3 + 5y) 20 + 12y = (-3 * 3 + 5y * 3) 20 + 12y = (-9 + 15y) Solving 20 + 12y = -9 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 20 + 12y + -15y = -9 + 15y + -15y Combine like terms: 12y + -15y = -3y 20 + -3y = -9 + 15y + -15y Combine like terms: 15y + -15y = 0 20 + -3y = -9 + 0 20 + -3y = -9 Add '-20' to each side of the equation. 20 + -20 + -3y = -9 + -20 Combine like terms: 20 + -20 = 0 0 + -3y = -9 + -20 -3y = -9 + -20 Combine like terms: -9 + -20 = -29 -3y = -29 Divide each side by '-3'. y = 9.666666667 Simplifying y = 9.666666667
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