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Simplifying -40 + 5y + 2 = 2(4y + -5) + -7 Reorder the terms: -40 + 2 + 5y = 2(4y + -5) + -7 Combine like terms: -40 + 2 = -38 -38 + 5y = 2(4y + -5) + -7 Reorder the terms: -38 + 5y = 2(-5 + 4y) + -7 -38 + 5y = (-5 * 2 + 4y * 2) + -7 -38 + 5y = (-10 + 8y) + -7 Reorder the terms: -38 + 5y = -10 + -7 + 8y Combine like terms: -10 + -7 = -17 -38 + 5y = -17 + 8y Solving -38 + 5y = -17 + 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. -38 + 5y + -8y = -17 + 8y + -8y Combine like terms: 5y + -8y = -3y -38 + -3y = -17 + 8y + -8y Combine like terms: 8y + -8y = 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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