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Simplifying -3y + 5(6 + -1y) = 4(1 + -3y) + 2 -3y + (6 * 5 + -1y * 5) = 4(1 + -3y) + 2 -3y + (30 + -5y) = 4(1 + -3y) + 2 Reorder the terms: 30 + -3y + -5y = 4(1 + -3y) + 2 Combine like terms: -3y + -5y = -8y 30 + -8y = 4(1 + -3y) + 2 30 + -8y = (1 * 4 + -3y * 4) + 2 30 + -8y = (4 + -12y) + 2 Reorder the terms: 30 + -8y = 4 + 2 + -12y Combine like terms: 4 + 2 = 6 30 + -8y = 6 + -12y Solving 30 + -8y = 6 + -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. 30 + -8y + 12y = 6 + -12y + 12y Combine like terms: -8y + 12y = 4y 30 + 4y = 6 + -12y + 12y Combine like terms: -12y + 12y = 0 30 + 4y = 6 + 0 30 + 4y = 6 Add '-30' to each side of the equation. 30 + -30 + 4y = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 4y = 6 + -30 4y = 6 + -30 Combine like terms: 6 + -30 = -24 4y = -24 Divide each side by '4'. y = -6 Simplifying y = -6
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