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Simplifying 5(2y + -5) + 2 = -2y + 33 Reorder the terms: 5(-5 + 2y) + 2 = -2y + 33 (-5 * 5 + 2y * 5) + 2 = -2y + 33 (-25 + 10y) + 2 = -2y + 33 Reorder the terms: -25 + 2 + 10y = -2y + 33 Combine like terms: -25 + 2 = -23 -23 + 10y = -2y + 33 Reorder the terms: -23 + 10y = 33 + -2y Solving -23 + 10y = 33 + -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. -23 + 10y + 2y = 33 + -2y + 2y Combine like terms: 10y + 2y = 12y -23 + 12y = 33 + -2y + 2y Combine like terms: -2y + 2y = 0 -23 + 12y = 33 + 0 -23 + 12y = 33 Add '23' to each side of the equation. -23 + 23 + 12y = 33 + 23 Combine like terms: -23 + 23 = 0 0 + 12y = 33 + 23 12y = 33 + 23 Combine like terms: 33 + 23 = 56 12y = 56 Divide each side by '12'. y = 4.666666667 Simplifying y = 4.666666667
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