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Simplifying 3(y + -5) = 2(2y + 1) Reorder the terms: 3(-5 + y) = 2(2y + 1) (-5 * 3 + y * 3) = 2(2y + 1) (-15 + 3y) = 2(2y + 1) Reorder the terms: -15 + 3y = 2(1 + 2y) -15 + 3y = (1 * 2 + 2y * 2) -15 + 3y = (2 + 4y) Solving -15 + 3y = 2 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -15 + 3y + -4y = 2 + 4y + -4y Combine like terms: 3y + -4y = -1y -15 + -1y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 -15 + -1y = 2 + 0 -15 + -1y = 2 Add '15' to each side of the equation. -15 + 15 + -1y = 2 + 15 Combine like terms: -15 + 15 = 0 0 + -1y = 2 + 15 -1y = 2 + 15 Combine like terms: 2 + 15 = 17 -1y = 17 Divide each side by '-1'. y = -17 Simplifying y = -17
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