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Simplifying 7 + -1(-1y + -5) = 2(y + 3) + -6(y + 3) Reorder the terms: 7 + -1(-5 + -1y) = 2(y + 3) + -6(y + 3) 7 + (-5 * -1 + -1y * -1) = 2(y + 3) + -6(y + 3) 7 + (5 + 1y) = 2(y + 3) + -6(y + 3) Combine like terms: 7 + 5 = 12 12 + 1y = 2(y + 3) + -6(y + 3) Reorder the terms: 12 + 1y = 2(3 + y) + -6(y + 3) 12 + 1y = (3 * 2 + y * 2) + -6(y + 3) 12 + 1y = (6 + 2y) + -6(y + 3) Reorder the terms: 12 + 1y = 6 + 2y + -6(3 + y) 12 + 1y = 6 + 2y + (3 * -6 + y * -6) 12 + 1y = 6 + 2y + (-18 + -6y) Reorder the terms: 12 + 1y = 6 + -18 + 2y + -6y Combine like terms: 6 + -18 = -12 12 + 1y = -12 + 2y + -6y Combine like terms: 2y + -6y = -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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