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Simplifying 5(4y + -3) + 7 = 3(3y + 4) + 23 Reorder the terms: 5(-3 + 4y) + 7 = 3(3y + 4) + 23 (-3 * 5 + 4y * 5) + 7 = 3(3y + 4) + 23 (-15 + 20y) + 7 = 3(3y + 4) + 23 Reorder the terms: -15 + 7 + 20y = 3(3y + 4) + 23 Combine like terms: -15 + 7 = -8 -8 + 20y = 3(3y + 4) + 23 Reorder the terms: -8 + 20y = 3(4 + 3y) + 23 -8 + 20y = (4 * 3 + 3y * 3) + 23 -8 + 20y = (12 + 9y) + 23 Reorder the terms: -8 + 20y = 12 + 23 + 9y Combine like terms: 12 + 23 = 35 -8 + 20y = 35 + 9y Solving -8 + 20y = 35 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -8 + 20y + -9y = 35 + 9y + -9y Combine like terms: 20y + -9y = 11y -8 + 11y = 35 + 9y + -9y Combine like terms: 9y + -9y = 0 -8 + 11y = 35 + 0 -8 + 11y = 35 Add '8' to each side of the equation. -8 + 8 + 11y = 35 + 8 Combine like terms: -8 + 8 = 0 0 + 11y = 35 + 8 11y = 35 + 8 Combine like terms: 35 + 8 = 43 11y = 43 Divide each side by '11'. y = 3.909090909 Simplifying y = 3.909090909
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