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Simplifying 3(5y + -3) = 2(y + 2) Reorder the terms: 3(-3 + 5y) = 2(y + 2) (-3 * 3 + 5y * 3) = 2(y + 2) (-9 + 15y) = 2(y + 2) Reorder the terms: -9 + 15y = 2(2 + y) -9 + 15y = (2 * 2 + y * 2) -9 + 15y = (4 + 2y) Solving -9 + 15y = 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. -9 + 15y + -2y = 4 + 2y + -2y Combine like terms: 15y + -2y = 13y -9 + 13y = 4 + 2y + -2y Combine like terms: 2y + -2y = 0 -9 + 13y = 4 + 0 -9 + 13y = 4 Add '9' to each side of the equation. -9 + 9 + 13y = 4 + 9 Combine like terms: -9 + 9 = 0 0 + 13y = 4 + 9 13y = 4 + 9 Combine like terms: 4 + 9 = 13 13y = 13 Divide each side by '13'. y = 1 Simplifying y = 1
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