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Simplifying -38 + 5y + 8 = 2(4y + -5) + -2 Reorder the terms: -38 + 8 + 5y = 2(4y + -5) + -2 Combine like terms: -38 + 8 = -30 -30 + 5y = 2(4y + -5) + -2 Reorder the terms: -30 + 5y = 2(-5 + 4y) + -2 -30 + 5y = (-5 * 2 + 4y * 2) + -2 -30 + 5y = (-10 + 8y) + -2 Reorder the terms: -30 + 5y = -10 + -2 + 8y Combine like terms: -10 + -2 = -12 -30 + 5y = -12 + 8y Solving -30 + 5y = -12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -30 + 5y + -8y = -12 + 8y + -8y Combine like terms: 5y + -8y = -3y -30 + -3y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 -30 + -3y = -12 + 0 -30 + -3y = -12 Add '30' to each side of the equation. -30 + 30 + -3y = -12 + 30 Combine like terms: -30 + 30 = 0 0 + -3y = -12 + 30 -3y = -12 + 30 Combine like terms: -12 + 30 = 18 -3y = 18 Divide each side by '-3'. y = -6 Simplifying y = -6
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