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Simplifying 3(5y + -1) + -2 = 13y + 3 Reorder the terms: 3(-1 + 5y) + -2 = 13y + 3 (-1 * 3 + 5y * 3) + -2 = 13y + 3 (-3 + 15y) + -2 = 13y + 3 Reorder the terms: -3 + -2 + 15y = 13y + 3 Combine like terms: -3 + -2 = -5 -5 + 15y = 13y + 3 Reorder the terms: -5 + 15y = 3 + 13y Solving -5 + 15y = 3 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -5 + 15y + -13y = 3 + 13y + -13y Combine like terms: 15y + -13y = 2y -5 + 2y = 3 + 13y + -13y Combine like terms: 13y + -13y = 0 -5 + 2y = 3 + 0 -5 + 2y = 3 Add '5' to each side of the equation. -5 + 5 + 2y = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = 3 + 5 2y = 3 + 5 Combine like terms: 3 + 5 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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