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Simplifying -4(2 + -1y) + 3y = 3y(-4) (2 * -4 + -1y * -4) + 3y = 3y(-4) (-8 + 4y) + 3y = 3y(-4) Combine like terms: 4y + 3y = 7y -8 + 7y = 3y(-4) Reorder the terms for easier multiplication: -8 + 7y = 3 * -4y Multiply 3 * -4 -8 + 7y = -12y Solving -8 + 7y = -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. -8 + 7y + 12y = -12y + 12y Combine like terms: 7y + 12y = 19y -8 + 19y = -12y + 12y Combine like terms: -12y + 12y = 0 -8 + 19y = 0 Add '8' to each side of the equation. -8 + 8 + 19y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 19y = 0 + 8 19y = 0 + 8 Combine like terms: 0 + 8 = 8 19y = 8 Divide each side by '19'. y = 0.4210526316 Simplifying y = 0.4210526316
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