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Simplifying 4(y + -9) + 17 = 5(y + 6) Reorder the terms: 4(-9 + y) + 17 = 5(y + 6) (-9 * 4 + y * 4) + 17 = 5(y + 6) (-36 + 4y) + 17 = 5(y + 6) Reorder the terms: -36 + 17 + 4y = 5(y + 6) Combine like terms: -36 + 17 = -19 -19 + 4y = 5(y + 6) Reorder the terms: -19 + 4y = 5(6 + y) -19 + 4y = (6 * 5 + y * 5) -19 + 4y = (30 + 5y) Solving -19 + 4y = 30 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -19 + 4y + -5y = 30 + 5y + -5y Combine like terms: 4y + -5y = -1y -19 + -1y = 30 + 5y + -5y Combine like terms: 5y + -5y = 0 -19 + -1y = 30 + 0 -19 + -1y = 30 Add '19' to each side of the equation. -19 + 19 + -1y = 30 + 19 Combine like terms: -19 + 19 = 0 0 + -1y = 30 + 19 -1y = 30 + 19 Combine like terms: 30 + 19 = 49 -1y = 49 Divide each side by '-1'. y = -49 Simplifying y = -49
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