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Simplifying 8y + -1(30 + -3y) + -1(6 + 10y) = 4 8y + (30 * -1 + -3y * -1) + -1(6 + 10y) = 4 8y + (-30 + 3y) + -1(6 + 10y) = 4 8y + -30 + 3y + (6 * -1 + 10y * -1) = 4 8y + -30 + 3y + (-6 + -10y) = 4 Reorder the terms: -30 + -6 + 8y + 3y + -10y = 4 Combine like terms: -30 + -6 = -36 -36 + 8y + 3y + -10y = 4 Combine like terms: 8y + 3y = 11y -36 + 11y + -10y = 4 Combine like terms: 11y + -10y = 1y -36 + 1y = 4 Solving -36 + 1y = 4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 1y = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 1y = 4 + 36 1y = 4 + 36 Combine like terms: 4 + 36 = 40 1y = 40 Divide each side by '1'. y = 40 Simplifying y = 40
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