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Simplifying 2(2y + -1) + -20 = 5(3y + -5) + 30 Reorder the terms: 2(-1 + 2y) + -20 = 5(3y + -5) + 30 (-1 * 2 + 2y * 2) + -20 = 5(3y + -5) + 30 (-2 + 4y) + -20 = 5(3y + -5) + 30 Reorder the terms: -2 + -20 + 4y = 5(3y + -5) + 30 Combine like terms: -2 + -20 = -22 -22 + 4y = 5(3y + -5) + 30 Reorder the terms: -22 + 4y = 5(-5 + 3y) + 30 -22 + 4y = (-5 * 5 + 3y * 5) + 30 -22 + 4y = (-25 + 15y) + 30 Reorder the terms: -22 + 4y = -25 + 30 + 15y Combine like terms: -25 + 30 = 5 -22 + 4y = 5 + 15y Solving -22 + 4y = 5 + 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. -22 + 4y + -15y = 5 + 15y + -15y Combine like terms: 4y + -15y = -11y -22 + -11y = 5 + 15y + -15y Combine like terms: 15y + -15y = 0 -22 + -11y = 5 + 0 -22 + -11y = 5 Add '22' to each side of the equation. -22 + 22 + -11y = 5 + 22 Combine like terms: -22 + 22 = 0 0 + -11y = 5 + 22 -11y = 5 + 22 Combine like terms: 5 + 22 = 27 -11y = 27 Divide each side by '-11'. y = -2.454545455 Simplifying y = -2.454545455
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