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Simplifying 3[7 + -6(y + -2)] = -3 + 2y Reorder the terms: 3[7 + -6(-2 + y)] = -3 + 2y 3[7 + (-2 * -6 + y * -6)] = -3 + 2y 3[7 + (12 + -6y)] = -3 + 2y Combine like terms: 7 + 12 = 19 3[19 + -6y] = -3 + 2y [19 * 3 + -6y * 3] = -3 + 2y [57 + -18y] = -3 + 2y Solving 57 + -18y = -3 + 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. 57 + -18y + -2y = -3 + 2y + -2y Combine like terms: -18y + -2y = -20y 57 + -20y = -3 + 2y + -2y Combine like terms: 2y + -2y = 0 57 + -20y = -3 + 0 57 + -20y = -3 Add '-57' to each side of the equation. 57 + -57 + -20y = -3 + -57 Combine like terms: 57 + -57 = 0 0 + -20y = -3 + -57 -20y = -3 + -57 Combine like terms: -3 + -57 = -60 -20y = -60 Divide each side by '-20'. y = 3 Simplifying y = 3
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