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Simplifying 6(y + -2) + -3 = -6(3y + 1) + -6 Reorder the terms: 6(-2 + y) + -3 = -6(3y + 1) + -6 (-2 * 6 + y * 6) + -3 = -6(3y + 1) + -6 (-12 + 6y) + -3 = -6(3y + 1) + -6 Reorder the terms: -12 + -3 + 6y = -6(3y + 1) + -6 Combine like terms: -12 + -3 = -15 -15 + 6y = -6(3y + 1) + -6 Reorder the terms: -15 + 6y = -6(1 + 3y) + -6 -15 + 6y = (1 * -6 + 3y * -6) + -6 -15 + 6y = (-6 + -18y) + -6 Reorder the terms: -15 + 6y = -6 + -6 + -18y Combine like terms: -6 + -6 = -12 -15 + 6y = -12 + -18y Solving -15 + 6y = -12 + -18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18y' to each side of the equation. -15 + 6y + 18y = -12 + -18y + 18y Combine like terms: 6y + 18y = 24y -15 + 24y = -12 + -18y + 18y Combine like terms: -18y + 18y = 0 -15 + 24y = -12 + 0 -15 + 24y = -12 Add '15' to each side of the equation. -15 + 15 + 24y = -12 + 15 Combine like terms: -15 + 15 = 0 0 + 24y = -12 + 15 24y = -12 + 15 Combine like terms: -12 + 15 = 3 24y = 3 Divide each side by '24'. y = 0.125 Simplifying y = 0.125
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