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Simplifying 2(2y + -5) = 3(y + 3) Reorder the terms: 2(-5 + 2y) = 3(y + 3) (-5 * 2 + 2y * 2) = 3(y + 3) (-10 + 4y) = 3(y + 3) Reorder the terms: -10 + 4y = 3(3 + y) -10 + 4y = (3 * 3 + y * 3) -10 + 4y = (9 + 3y) Solving -10 + 4y = 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. -10 + 4y + -3y = 9 + 3y + -3y Combine like terms: 4y + -3y = 1y -10 + 1y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 -10 + 1y = 9 + 0 -10 + 1y = 9 Add '10' to each side of the equation. -10 + 10 + 1y = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 1y = 9 + 10 1y = 9 + 10 Combine like terms: 9 + 10 = 19 1y = 19 Divide each side by '1'. y = 19 Simplifying y = 19
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