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Simplifying 4(y + -9) + 6y = 2y + -20 Reorder the terms: 4(-9 + y) + 6y = 2y + -20 (-9 * 4 + y * 4) + 6y = 2y + -20 (-36 + 4y) + 6y = 2y + -20 Combine like terms: 4y + 6y = 10y -36 + 10y = 2y + -20 Reorder the terms: -36 + 10y = -20 + 2y Solving -36 + 10y = -20 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -36 + 10y + -2y = -20 + 2y + -2y Combine like terms: 10y + -2y = 8y -36 + 8y = -20 + 2y + -2y Combine like terms: 2y + -2y = 0 -36 + 8y = -20 + 0 -36 + 8y = -20 Add '36' to each side of the equation. -36 + 36 + 8y = -20 + 36 Combine like terms: -36 + 36 = 0 0 + 8y = -20 + 36 8y = -20 + 36 Combine like terms: -20 + 36 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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