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Simplifying 4(y + -5) + 7 = 3y + 17 Reorder the terms: 4(-5 + y) + 7 = 3y + 17 (-5 * 4 + y * 4) + 7 = 3y + 17 (-20 + 4y) + 7 = 3y + 17 Reorder the terms: -20 + 7 + 4y = 3y + 17 Combine like terms: -20 + 7 = -13 -13 + 4y = 3y + 17 Reorder the terms: -13 + 4y = 17 + 3y Solving -13 + 4y = 17 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -13 + 4y + -3y = 17 + 3y + -3y Combine like terms: 4y + -3y = 1y -13 + 1y = 17 + 3y + -3y Combine like terms: 3y + -3y = 0 -13 + 1y = 17 + 0 -13 + 1y = 17 Add '13' to each side of the equation. -13 + 13 + 1y = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 1y = 17 + 13 1y = 17 + 13 Combine like terms: 17 + 13 = 30 1y = 30 Divide each side by '1'. y = 30 Simplifying y = 30
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