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Simplifying 4(5y + -2) = 3(y + 3) Reorder the terms: 4(-2 + 5y) = 3(y + 3) (-2 * 4 + 5y * 4) = 3(y + 3) (-8 + 20y) = 3(y + 3) Reorder the terms: -8 + 20y = 3(3 + y) -8 + 20y = (3 * 3 + y * 3) -8 + 20y = (9 + 3y) Solving -8 + 20y = 9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -8 + 20y + -3y = 9 + 3y + -3y Combine like terms: 20y + -3y = 17y -8 + 17y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 17y = 9 + 0 -8 + 17y = 9 Add '8' to each side of the equation. -8 + 8 + 17y = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 17y = 9 + 8 17y = 9 + 8 Combine like terms: 9 + 8 = 17 17y = 17 Divide each side by '17'. y = 1 Simplifying y = 1
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