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Simplifying 2(2y + 5) + 20 = 5(3y + -4) + 1 Reorder the terms: 2(5 + 2y) + 20 = 5(3y + -4) + 1 (5 * 2 + 2y * 2) + 20 = 5(3y + -4) + 1 (10 + 4y) + 20 = 5(3y + -4) + 1 Reorder the terms: 10 + 20 + 4y = 5(3y + -4) + 1 Combine like terms: 10 + 20 = 30 30 + 4y = 5(3y + -4) + 1 Reorder the terms: 30 + 4y = 5(-4 + 3y) + 1 30 + 4y = (-4 * 5 + 3y * 5) + 1 30 + 4y = (-20 + 15y) + 1 Reorder the terms: 30 + 4y = -20 + 1 + 15y Combine like terms: -20 + 1 = -19 30 + 4y = -19 + 15y Solving 30 + 4y = -19 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 30 + 4y + -15y = -19 + 15y + -15y Combine like terms: 4y + -15y = -11y 30 + -11y = -19 + 15y + -15y Combine like terms: 15y + -15y = 0 30 + -11y = -19 + 0 30 + -11y = -19 Add '-30' to each side of the equation. 30 + -30 + -11y = -19 + -30 Combine like terms: 30 + -30 = 0 0 + -11y = -19 + -30 -11y = -19 + -30 Combine like terms: -19 + -30 = -49 -11y = -49 Divide each side by '-11'. y = 4.454545455 Simplifying y = 4.454545455
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