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Simplifying -38 + 13y + 2 = 5(3y + -2) + -8 Reorder the terms: -38 + 2 + 13y = 5(3y + -2) + -8 Combine like terms: -38 + 2 = -36 -36 + 13y = 5(3y + -2) + -8 Reorder the terms: -36 + 13y = 5(-2 + 3y) + -8 -36 + 13y = (-2 * 5 + 3y * 5) + -8 -36 + 13y = (-10 + 15y) + -8 Reorder the terms: -36 + 13y = -10 + -8 + 15y Combine like terms: -10 + -8 = -18 -36 + 13y = -18 + 15y Solving -36 + 13y = -18 + 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. -36 + 13y + -15y = -18 + 15y + -15y Combine like terms: 13y + -15y = -2y -36 + -2y = -18 + 15y + -15y Combine like terms: 15y + -15y = 0 -36 + -2y = -18 + 0 -36 + -2y = -18 Add '36' to each side of the equation. -36 + 36 + -2y = -18 + 36 Combine like terms: -36 + 36 = 0 0 + -2y = -18 + 36 -2y = -18 + 36 Combine like terms: -18 + 36 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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