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Simplifying 3(y + -5) = 2(y + 2) Reorder the terms: 3(-5 + y) = 2(y + 2) (-5 * 3 + y * 3) = 2(y + 2) (-15 + 3y) = 2(y + 2) Reorder the terms: -15 + 3y = 2(2 + y) -15 + 3y = (2 * 2 + y * 2) -15 + 3y = (4 + 2y) Solving -15 + 3y = 4 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -15 + 3y + -2y = 4 + 2y + -2y Combine like terms: 3y + -2y = 1y -15 + 1y = 4 + 2y + -2y Combine like terms: 2y + -2y = 0 -15 + 1y = 4 + 0 -15 + 1y = 4 Add '15' to each side of the equation. -15 + 15 + 1y = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 1y = 4 + 15 1y = 4 + 15 Combine like terms: 4 + 15 = 19 1y = 19 Divide each side by '1'. y = 19 Simplifying y = 19
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