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Simplifying 0.25(12y + 4) = 5(-2)(4y + 6) Reorder the terms: 0.25(4 + 12y) = 5(-2)(4y + 6) (4 * 0.25 + 12y * 0.25) = 5(-2)(4y + 6) (1 + 3y) = 5(-2)(4y + 6) Reorder the terms: 1 + 3y = 5 * -2(6 + 4y) Multiply 5 * -2 1 + 3y = -10(6 + 4y) 1 + 3y = (6 * -10 + 4y * -10) 1 + 3y = (-60 + -40y) Solving 1 + 3y = -60 + -40y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '40y' to each side of the equation. 1 + 3y + 40y = -60 + -40y + 40y Combine like terms: 3y + 40y = 43y 1 + 43y = -60 + -40y + 40y Combine like terms: -40y + 40y = 0 1 + 43y = -60 + 0 1 + 43y = -60 Add '-1' to each side of the equation. 1 + -1 + 43y = -60 + -1 Combine like terms: 1 + -1 = 0 0 + 43y = -60 + -1 43y = -60 + -1 Combine like terms: -60 + -1 = -61 43y = -61 Divide each side by '43'. y = -1.418604651 Simplifying y = -1.418604651
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