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Simplifying 4(Y + 22) + 1 = -5(3 + -2Y) Reorder the terms: 4(22 + Y) + 1 = -5(3 + -2Y) (22 * 4 + Y * 4) + 1 = -5(3 + -2Y) (88 + 4Y) + 1 = -5(3 + -2Y) Reorder the terms: 88 + 1 + 4Y = -5(3 + -2Y) Combine like terms: 88 + 1 = 89 89 + 4Y = -5(3 + -2Y) 89 + 4Y = (3 * -5 + -2Y * -5) 89 + 4Y = (-15 + 10Y) Solving 89 + 4Y = -15 + 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. 89 + 4Y + -10Y = -15 + 10Y + -10Y Combine like terms: 4Y + -10Y = -6Y 89 + -6Y = -15 + 10Y + -10Y Combine like terms: 10Y + -10Y = 0 89 + -6Y = -15 + 0 89 + -6Y = -15 Add '-89' to each side of the equation. 89 + -89 + -6Y = -15 + -89 Combine like terms: 89 + -89 = 0 0 + -6Y = -15 + -89 -6Y = -15 + -89 Combine like terms: -15 + -89 = -104 -6Y = -104 Divide each side by '-6'. Y = 17.33333333 Simplifying Y = 17.33333333
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