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Simplifying -42 + 27y + 4 = 6(5y + -2) + -5 Reorder the terms: -42 + 4 + 27y = 6(5y + -2) + -5 Combine like terms: -42 + 4 = -38 -38 + 27y = 6(5y + -2) + -5 Reorder the terms: -38 + 27y = 6(-2 + 5y) + -5 -38 + 27y = (-2 * 6 + 5y * 6) + -5 -38 + 27y = (-12 + 30y) + -5 Reorder the terms: -38 + 27y = -12 + -5 + 30y Combine like terms: -12 + -5 = -17 -38 + 27y = -17 + 30y Solving -38 + 27y = -17 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. -38 + 27y + -30y = -17 + 30y + -30y Combine like terms: 27y + -30y = -3y -38 + -3y = -17 + 30y + -30y Combine like terms: 30y + -30y = 0 -38 + -3y = -17 + 0 -38 + -3y = -17 Add '38' to each side of the equation. -38 + 38 + -3y = -17 + 38 Combine like terms: -38 + 38 = 0 0 + -3y = -17 + 38 -3y = -17 + 38 Combine like terms: -17 + 38 = 21 -3y = 21 Divide each side by '-3'. y = -7 Simplifying y = -7
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