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Simplifying -18 + 13y + 3 = 3[5y + -1] + -2 Reorder the terms: -18 + 3 + 13y = 3[5y + -1] + -2 Combine like terms: -18 + 3 = -15 -15 + 13y = 3[5y + -1] + -2 Reorder the terms: -15 + 13y = 3[-1 + 5y] + -2 -15 + 13y = [-1 * 3 + 5y * 3] + -2 -15 + 13y = [-3 + 15y] + -2 Reorder the terms: -15 + 13y = -3 + -2 + 15y Combine like terms: -3 + -2 = -5 -15 + 13y = -5 + 15y Solving -15 + 13y = -5 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -15 + 13y + -15y = -5 + 15y + -15y Combine like terms: 13y + -15y = -2y -15 + -2y = -5 + 15y + -15y Combine like terms: 15y + -15y = 0 -15 + -2y = -5 + 0 -15 + -2y = -5 Add '15' to each side of the equation. -15 + 15 + -2y = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -2y = -5 + 15 -2y = -5 + 15 Combine like terms: -5 + 15 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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