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Simplifying 2(-1(3y + 10)) + -18 = 3(6 + -1y) Reorder the terms: 2(-1(10 + 3y)) + -18 = 3(6 + -1y) 2((10 * -1 + 3y * -1)) + -18 = 3(6 + -1y) 2((-10 + -3y)) + -18 = 3(6 + -1y) (-10 * 2 + -3y * 2) + -18 = 3(6 + -1y) (-20 + -6y) + -18 = 3(6 + -1y) Reorder the terms: -20 + -18 + -6y = 3(6 + -1y) Combine like terms: -20 + -18 = -38 -38 + -6y = 3(6 + -1y) -38 + -6y = (6 * 3 + -1y * 3) -38 + -6y = (18 + -3y) Solving -38 + -6y = 18 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -38 + -6y + 3y = 18 + -3y + 3y Combine like terms: -6y + 3y = -3y -38 + -3y = 18 + -3y + 3y Combine like terms: -3y + 3y = 0 -38 + -3y = 18 + 0 -38 + -3y = 18 Add '38' to each side of the equation. -38 + 38 + -3y = 18 + 38 Combine like terms: -38 + 38 = 0 0 + -3y = 18 + 38 -3y = 18 + 38 Combine like terms: 18 + 38 = 56 -3y = 56 Divide each side by '-3'. y = -18.66666667 Simplifying y = -18.66666667
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