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Simplifying 38 = -3(4y + 2) + 1 Reorder the terms: 38 = -3(2 + 4y) + 1 38 = (2 * -3 + 4y * -3) + 1 38 = (-6 + -12y) + 1 Reorder the terms: 38 = -6 + 1 + -12y Combine like terms: -6 + 1 = -5 38 = -5 + -12y Solving 38 = -5 + -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. 38 + 12y = -5 + -12y + 12y Combine like terms: -12y + 12y = 0 38 + 12y = -5 + 0 38 + 12y = -5 Add '-38' to each side of the equation. 38 + -38 + 12y = -5 + -38 Combine like terms: 38 + -38 = 0 0 + 12y = -5 + -38 12y = -5 + -38 Combine like terms: -5 + -38 = -43 12y = -43 Divide each side by '12'. y = -3.583333333 Simplifying y = -3.583333333
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