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Simplifying 5(2y + 3) = 4(7y + -2) Reorder the terms: 5(3 + 2y) = 4(7y + -2) (3 * 5 + 2y * 5) = 4(7y + -2) (15 + 10y) = 4(7y + -2) Reorder the terms: 15 + 10y = 4(-2 + 7y) 15 + 10y = (-2 * 4 + 7y * 4) 15 + 10y = (-8 + 28y) Solving 15 + 10y = -8 + 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. 15 + 10y + -28y = -8 + 28y + -28y Combine like terms: 10y + -28y = -18y 15 + -18y = -8 + 28y + -28y Combine like terms: 28y + -28y = 0 15 + -18y = -8 + 0 15 + -18y = -8 Add '-15' to each side of the equation. 15 + -15 + -18y = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -18y = -8 + -15 -18y = -8 + -15 Combine like terms: -8 + -15 = -23 -18y = -23 Divide each side by '-18'. y = 1.277777778 Simplifying y = 1.277777778
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