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Simplifying 8 + -1(-1y + -4) = 3(y + 3) + -7(y + 3) Reorder the terms: 8 + -1(-4 + -1y) = 3(y + 3) + -7(y + 3) 8 + (-4 * -1 + -1y * -1) = 3(y + 3) + -7(y + 3) 8 + (4 + 1y) = 3(y + 3) + -7(y + 3) Combine like terms: 8 + 4 = 12 12 + 1y = 3(y + 3) + -7(y + 3) Reorder the terms: 12 + 1y = 3(3 + y) + -7(y + 3) 12 + 1y = (3 * 3 + y * 3) + -7(y + 3) 12 + 1y = (9 + 3y) + -7(y + 3) Reorder the terms: 12 + 1y = 9 + 3y + -7(3 + y) 12 + 1y = 9 + 3y + (3 * -7 + y * -7) 12 + 1y = 9 + 3y + (-21 + -7y) Reorder the terms: 12 + 1y = 9 + -21 + 3y + -7y Combine like terms: 9 + -21 = -12 12 + 1y = -12 + 3y + -7y Combine like terms: 3y + -7y = -4y 12 + 1y = -12 + -4y Solving 12 + 1y = -12 + -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. 12 + 1y + 4y = -12 + -4y + 4y Combine like terms: 1y + 4y = 5y 12 + 5y = -12 + -4y + 4y Combine like terms: -4y + 4y = 0 12 + 5y = -12 + 0 12 + 5y = -12 Add '-12' to each side of the equation. 12 + -12 + 5y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 5y = -12 + -12 5y = -12 + -12 Combine like terms: -12 + -12 = -24 5y = -24 Divide each side by '5'. y = -4.8 Simplifying y = -4.8
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