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Simplifying 3(7y + -3) = 4(5y + 7) Reorder the terms: 3(-3 + 7y) = 4(5y + 7) (-3 * 3 + 7y * 3) = 4(5y + 7) (-9 + 21y) = 4(5y + 7) Reorder the terms: -9 + 21y = 4(7 + 5y) -9 + 21y = (7 * 4 + 5y * 4) -9 + 21y = (28 + 20y) Solving -9 + 21y = 28 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -9 + 21y + -20y = 28 + 20y + -20y Combine like terms: 21y + -20y = 1y -9 + 1y = 28 + 20y + -20y Combine like terms: 20y + -20y = 0 -9 + 1y = 28 + 0 -9 + 1y = 28 Add '9' to each side of the equation. -9 + 9 + 1y = 28 + 9 Combine like terms: -9 + 9 = 0 0 + 1y = 28 + 9 1y = 28 + 9 Combine like terms: 28 + 9 = 37 1y = 37 Divide each side by '1'. y = 37 Simplifying y = 37
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