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Simplifying 2(5y + -3) = 4(3 + 7y) Reorder the terms: 2(-3 + 5y) = 4(3 + 7y) (-3 * 2 + 5y * 2) = 4(3 + 7y) (-6 + 10y) = 4(3 + 7y) -6 + 10y = (3 * 4 + 7y * 4) -6 + 10y = (12 + 28y) Solving -6 + 10y = 12 + 28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28y' to each side of the equation. -6 + 10y + -28y = 12 + 28y + -28y Combine like terms: 10y + -28y = -18y -6 + -18y = 12 + 28y + -28y Combine like terms: 28y + -28y = 0 -6 + -18y = 12 + 0 -6 + -18y = 12 Add '6' to each side of the equation. -6 + 6 + -18y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -18y = 12 + 6 -18y = 12 + 6 Combine like terms: 12 + 6 = 18 -18y = 18 Divide each side by '-18'. y = -1 Simplifying y = -1
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