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Simplifying 8 + -1(3y + -4) = 16 + -7y Reorder the terms: 8 + -1(-4 + 3y) = 16 + -7y 8 + (-4 * -1 + 3y * -1) = 16 + -7y 8 + (4 + -3y) = 16 + -7y Combine like terms: 8 + 4 = 12 12 + -3y = 16 + -7y Solving 12 + -3y = 16 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 12 + -3y + 7y = 16 + -7y + 7y Combine like terms: -3y + 7y = 4y 12 + 4y = 16 + -7y + 7y Combine like terms: -7y + 7y = 0 12 + 4y = 16 + 0 12 + 4y = 16 Add '-12' to each side of the equation. 12 + -12 + 4y = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = 16 + -12 4y = 16 + -12 Combine like terms: 16 + -12 = 4 4y = 4 Divide each side by '4'. y = 1 Simplifying y = 1
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