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Simplifying -41 + 7y + 9 = 2(5y + -4) + -6 Reorder the terms: -41 + 9 + 7y = 2(5y + -4) + -6 Combine like terms: -41 + 9 = -32 -32 + 7y = 2(5y + -4) + -6 Reorder the terms: -32 + 7y = 2(-4 + 5y) + -6 -32 + 7y = (-4 * 2 + 5y * 2) + -6 -32 + 7y = (-8 + 10y) + -6 Reorder the terms: -32 + 7y = -8 + -6 + 10y Combine like terms: -8 + -6 = -14 -32 + 7y = -14 + 10y Solving -32 + 7y = -14 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -32 + 7y + -10y = -14 + 10y + -10y Combine like terms: 7y + -10y = -3y -32 + -3y = -14 + 10y + -10y Combine like terms: 10y + -10y = 0 -32 + -3y = -14 + 0 -32 + -3y = -14 Add '32' to each side of the equation. -32 + 32 + -3y = -14 + 32 Combine like terms: -32 + 32 = 0 0 + -3y = -14 + 32 -3y = -14 + 32 Combine like terms: -14 + 32 = 18 -3y = 18 Divide each side by '-3'. y = -6 Simplifying y = -6
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