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Simplifying 3(4y + -1) = 4 + 5(3y + -3) Reorder the terms: 3(-1 + 4y) = 4 + 5(3y + -3) (-1 * 3 + 4y * 3) = 4 + 5(3y + -3) (-3 + 12y) = 4 + 5(3y + -3) Reorder the terms: -3 + 12y = 4 + 5(-3 + 3y) -3 + 12y = 4 + (-3 * 5 + 3y * 5) -3 + 12y = 4 + (-15 + 15y) Combine like terms: 4 + -15 = -11 -3 + 12y = -11 + 15y Solving -3 + 12y = -11 + 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. -3 + 12y + -15y = -11 + 15y + -15y Combine like terms: 12y + -15y = -3y -3 + -3y = -11 + 15y + -15y Combine like terms: 15y + -15y = 0 -3 + -3y = -11 + 0 -3 + -3y = -11 Add '3' to each side of the equation. -3 + 3 + -3y = -11 + 3 Combine like terms: -3 + 3 = 0 0 + -3y = -11 + 3 -3y = -11 + 3 Combine like terms: -11 + 3 = -8 -3y = -8 Divide each side by '-3'. y = 2.666666667 Simplifying y = 2.666666667
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