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Simplifying 3(4y + -1) = 4 + 5(2y + -3) Reorder the terms: 3(-1 + 4y) = 4 + 5(2y + -3) (-1 * 3 + 4y * 3) = 4 + 5(2y + -3) (-3 + 12y) = 4 + 5(2y + -3) Reorder the terms: -3 + 12y = 4 + 5(-3 + 2y) -3 + 12y = 4 + (-3 * 5 + 2y * 5) -3 + 12y = 4 + (-15 + 10y) Combine like terms: 4 + -15 = -11 -3 + 12y = -11 + 10y Solving -3 + 12y = -11 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -3 + 12y + -10y = -11 + 10y + -10y Combine like terms: 12y + -10y = 2y -3 + 2y = -11 + 10y + -10y Combine like terms: 10y + -10y = 0 -3 + 2y = -11 + 0 -3 + 2y = -11 Add '3' to each side of the equation. -3 + 3 + 2y = -11 + 3 Combine like terms: -3 + 3 = 0 0 + 2y = -11 + 3 2y = -11 + 3 Combine like terms: -11 + 3 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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