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Simplifying -7 + 7(4y + -4) = -2(9y + 7) + 3 Reorder the terms: -7 + 7(-4 + 4y) = -2(9y + 7) + 3 -7 + (-4 * 7 + 4y * 7) = -2(9y + 7) + 3 -7 + (-28 + 28y) = -2(9y + 7) + 3 Combine like terms: -7 + -28 = -35 -35 + 28y = -2(9y + 7) + 3 Reorder the terms: -35 + 28y = -2(7 + 9y) + 3 -35 + 28y = (7 * -2 + 9y * -2) + 3 -35 + 28y = (-14 + -18y) + 3 Reorder the terms: -35 + 28y = -14 + 3 + -18y Combine like terms: -14 + 3 = -11 -35 + 28y = -11 + -18y Solving -35 + 28y = -11 + -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. -35 + 28y + 18y = -11 + -18y + 18y Combine like terms: 28y + 18y = 46y -35 + 46y = -11 + -18y + 18y Combine like terms: -18y + 18y = 0 -35 + 46y = -11 + 0 -35 + 46y = -11 Add '35' to each side of the equation. -35 + 35 + 46y = -11 + 35 Combine like terms: -35 + 35 = 0 0 + 46y = -11 + 35 46y = -11 + 35 Combine like terms: -11 + 35 = 24 46y = 24 Divide each side by '46'. y = 0.5217391304 Simplifying y = 0.5217391304
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