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Simplifying 4(3y + -1) = 5(y + 2) Reorder the terms: 4(-1 + 3y) = 5(y + 2) (-1 * 4 + 3y * 4) = 5(y + 2) (-4 + 12y) = 5(y + 2) Reorder the terms: -4 + 12y = 5(2 + y) -4 + 12y = (2 * 5 + y * 5) -4 + 12y = (10 + 5y) Solving -4 + 12y = 10 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -4 + 12y + -5y = 10 + 5y + -5y Combine like terms: 12y + -5y = 7y -4 + 7y = 10 + 5y + -5y Combine like terms: 5y + -5y = 0 -4 + 7y = 10 + 0 -4 + 7y = 10 Add '4' to each side of the equation. -4 + 4 + 7y = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 7y = 10 + 4 7y = 10 + 4 Combine like terms: 10 + 4 = 14 7y = 14 Divide each side by '7'. y = 2 Simplifying y = 2
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