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Simplifying 4(5y + -2) = 3(2y + 2) Reorder the terms: 4(-2 + 5y) = 3(2y + 2) (-2 * 4 + 5y * 4) = 3(2y + 2) (-8 + 20y) = 3(2y + 2) Reorder the terms: -8 + 20y = 3(2 + 2y) -8 + 20y = (2 * 3 + 2y * 3) -8 + 20y = (6 + 6y) Solving -8 + 20y = 6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -8 + 20y + -6y = 6 + 6y + -6y Combine like terms: 20y + -6y = 14y -8 + 14y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + 14y = 6 + 0 -8 + 14y = 6 Add '8' to each side of the equation. -8 + 8 + 14y = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 14y = 6 + 8 14y = 6 + 8 Combine like terms: 6 + 8 = 14 14y = 14 Divide each side by '14'. y = 1 Simplifying y = 1
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