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Simplifying 4 + -1(2y + 5) = 3(1 + -4y) Reorder the terms: 4 + -1(5 + 2y) = 3(1 + -4y) 4 + (5 * -1 + 2y * -1) = 3(1 + -4y) 4 + (-5 + -2y) = 3(1 + -4y) Combine like terms: 4 + -5 = -1 -1 + -2y = 3(1 + -4y) -1 + -2y = (1 * 3 + -4y * 3) -1 + -2y = (3 + -12y) Solving -1 + -2y = 3 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -1 + -2y + 12y = 3 + -12y + 12y Combine like terms: -2y + 12y = 10y -1 + 10y = 3 + -12y + 12y Combine like terms: -12y + 12y = 0 -1 + 10y = 3 + 0 -1 + 10y = 3 Add '1' to each side of the equation. -1 + 1 + 10y = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 10y = 3 + 1 10y = 3 + 1 Combine like terms: 3 + 1 = 4 10y = 4 Divide each side by '10'. y = 0.4 Simplifying y = 0.4
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