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Simplifying 5(Y + 6) + 4(y + 1) = 142 Reorder the terms: 5(6 + Y) + 4(y + 1) = 142 (6 * 5 + Y * 5) + 4(y + 1) = 142 (30 + 5Y) + 4(y + 1) = 142 Reorder the terms: 30 + 5Y + 4(1 + y) = 142 30 + 5Y + (1 * 4 + y * 4) = 142 30 + 5Y + (4 + 4y) = 142 Reorder the terms: 30 + 4 + 5Y + 4y = 142 Combine like terms: 30 + 4 = 34 34 + 5Y + 4y = 142 Solving 34 + 5Y + 4y = 142 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + 5Y + -34 + 4y = 142 + -34 Reorder the terms: 34 + -34 + 5Y + 4y = 142 + -34 Combine like terms: 34 + -34 = 0 0 + 5Y + 4y = 142 + -34 5Y + 4y = 142 + -34 Combine like terms: 142 + -34 = 108 5Y + 4y = 108 Add '-4y' to each side of the equation. 5Y + 4y + -4y = 108 + -4y Combine like terms: 4y + -4y = 0 5Y + 0 = 108 + -4y 5Y = 108 + -4y Divide each side by '5'. Y = 21.6 + -0.8y Simplifying Y = 21.6 + -0.8y
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