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Simplifying 7 + -1(-1y + -5) = 2(y + 3) Reorder the terms: 7 + -1(-5 + -1y) = 2(y + 3) 7 + (-5 * -1 + -1y * -1) = 2(y + 3) 7 + (5 + 1y) = 2(y + 3) Combine like terms: 7 + 5 = 12 12 + 1y = 2(y + 3) Reorder the terms: 12 + 1y = 2(3 + y) 12 + 1y = (3 * 2 + y * 2) 12 + 1y = (6 + 2y) Solving 12 + 1y = 6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 12 + 1y + -2y = 6 + 2y + -2y Combine like terms: 1y + -2y = -1y 12 + -1y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + -1y = 6 + 0 12 + -1y = 6 Add '-12' to each side of the equation. 12 + -12 + -1y = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 6 + -12 -1y = 6 + -12 Combine like terms: 6 + -12 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6
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