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Simplifying 4(5y + 6) + -3y = 75 + 2y Reorder the terms: 4(6 + 5y) + -3y = 75 + 2y (6 * 4 + 5y * 4) + -3y = 75 + 2y (24 + 20y) + -3y = 75 + 2y Combine like terms: 20y + -3y = 17y 24 + 17y = 75 + 2y Solving 24 + 17y = 75 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 24 + 17y + -2y = 75 + 2y + -2y Combine like terms: 17y + -2y = 15y 24 + 15y = 75 + 2y + -2y Combine like terms: 2y + -2y = 0 24 + 15y = 75 + 0 24 + 15y = 75 Add '-24' to each side of the equation. 24 + -24 + 15y = 75 + -24 Combine like terms: 24 + -24 = 0 0 + 15y = 75 + -24 15y = 75 + -24 Combine like terms: 75 + -24 = 51 15y = 51 Divide each side by '15'. y = 3.4 Simplifying y = 3.4
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