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Simplifying 3(y + -5) + 2 = y + 7 Reorder the terms: 3(-5 + y) + 2 = y + 7 (-5 * 3 + y * 3) + 2 = y + 7 (-15 + 3y) + 2 = y + 7 Reorder the terms: -15 + 2 + 3y = y + 7 Combine like terms: -15 + 2 = -13 -13 + 3y = y + 7 Reorder the terms: -13 + 3y = 7 + y Solving -13 + 3y = 7 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -13 + 3y + -1y = 7 + y + -1y Combine like terms: 3y + -1y = 2y -13 + 2y = 7 + y + -1y Combine like terms: y + -1y = 0 -13 + 2y = 7 + 0 -13 + 2y = 7 Add '13' to each side of the equation. -13 + 13 + 2y = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 2y = 7 + 13 2y = 7 + 13 Combine like terms: 7 + 13 = 20 2y = 20 Divide each side by '2'. y = 10 Simplifying y = 10
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