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Simplifying 4(3y + -1) + 8 = 2(2y + -4) + -1 Reorder the terms: 4(-1 + 3y) + 8 = 2(2y + -4) + -1 (-1 * 4 + 3y * 4) + 8 = 2(2y + -4) + -1 (-4 + 12y) + 8 = 2(2y + -4) + -1 Reorder the terms: -4 + 8 + 12y = 2(2y + -4) + -1 Combine like terms: -4 + 8 = 4 4 + 12y = 2(2y + -4) + -1 Reorder the terms: 4 + 12y = 2(-4 + 2y) + -1 4 + 12y = (-4 * 2 + 2y * 2) + -1 4 + 12y = (-8 + 4y) + -1 Reorder the terms: 4 + 12y = -8 + -1 + 4y Combine like terms: -8 + -1 = -9 4 + 12y = -9 + 4y Solving 4 + 12y = -9 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 4 + 12y + -4y = -9 + 4y + -4y Combine like terms: 12y + -4y = 8y 4 + 8y = -9 + 4y + -4y Combine like terms: 4y + -4y = 0 4 + 8y = -9 + 0 4 + 8y = -9 Add '-4' to each side of the equation. 4 + -4 + 8y = -9 + -4 Combine like terms: 4 + -4 = 0 0 + 8y = -9 + -4 8y = -9 + -4 Combine like terms: -9 + -4 = -13 8y = -13 Divide each side by '8'. y = -1.625 Simplifying y = -1.625
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